Elements Of Modern Algebra
8th Edition
ISBN: 9781285463230
Author: Gilbert, Linda, Jimmie
Publisher: Cengage Learning,
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Chapter 2.4, Problem 33E
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Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
Sara would like to go on a vacation in 5 years and she expects her total costs to be $3000. If she invests $2500 into a savings account for those 5 years at 8% interest, compounding semi-annually, how much money will she have? Round your answer to the nearest cent. Show you work. Will she be able to go on vacation? Why or why not?
Chapter 2 Solutions
Elements Of Modern Algebra
Ch. 2.1 - True or False Label each of the following...Ch. 2.1 - True or False Label each of the following...Ch. 2.1 - True or False
Label each of the following...Ch. 2.1 - True or False Label each of the following...Ch. 2.1 - True or False
Label each of the following...Ch. 2.1 - Prob. 6TFECh. 2.1 - Prob. 7TFECh. 2.1 - Prob. 8TFECh. 2.1 - Prob. 9TFECh. 2.1 - Prob. 10TFE
Ch. 2.1 - Prove that the equalities in Exercises 111 hold...Ch. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prove that the equalities in Exercises hold for...Ch. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prove that the equalities in Exercises hold for...Ch. 2.1 - Prove that the equalities in Exercises hold for...Ch. 2.1 - Prob. 10ECh. 2.1 - Prob. 11ECh. 2.1 - Let A be a set of integers closed under...Ch. 2.1 - Prob. 13ECh. 2.1 - In Exercises , prove the statements concerning the...Ch. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - In Exercises , prove the statements concerning the...Ch. 2.1 - In Exercises , prove the statements concerning the...Ch. 2.1 - In Exercises 13-24, prove the statements...Ch. 2.1 - In Exercises 1324, prove the statements concerning...Ch. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - 25. Prove that if and are integers and, then...Ch. 2.1 - Prove that the cancellation law for multiplication...Ch. 2.1 - Let x and y be in Z, not both zero, then x2+y2Z+.Ch. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - 31. Prove that if is positive and is negative,...Ch. 2.1 - 32. Prove that if is positive and is positive,...Ch. 2.1 - 33. Prove that if is positive and is negative,...Ch. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.2 - Prove that the statements in Exercises are true...Ch. 2.2 - Prove that the statements in Exercises are true...Ch. 2.2 - Prob. 3ECh. 2.2 - Prove that the statements in Exercises are true...Ch. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prove that the statements in Exercises 116 are...Ch. 2.2 - 17. Use mathematical induction to prove that the...Ch. 2.2 - Let be integers, and let be positive integers....Ch. 2.2 - Let xandy be integers, and let mandn be positive...Ch. 2.2 - Let xandy be integers, and let mandn be positive...Ch. 2.2 - Let x and y be integers, and let m and n be...Ch. 2.2 - Let x and y be integers, and let m and n be...Ch. 2.2 - Let and be integers, and let and be positive...Ch. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Use the equation (nr1)+(nr)=(n+1r) for 1rn. And...Ch. 2.2 - Use the equation. (nr1)+(nr)=(n+1r) for 1rn....Ch. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - In Exercise use mathematical induction to prove...Ch. 2.2 - In Exercise 3236 use mathematical induction to...Ch. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Exercise can be generalized as follows: If and...Ch. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - In Exercise , use generalized induction to prove...Ch. 2.2 - Prob. 44ECh. 2.2 - In Exercise 4145, use generalized induction to...Ch. 2.2 - Use generalized induction and Exercise 43 to prove...Ch. 2.2 - Use generalized induction and Exercise 43 to prove...Ch. 2.2 - Assume the statement from Exercise 30 in section...Ch. 2.2 - Show that if the statement
is assumed to be true...Ch. 2.2 - Show that if the statement 1+2+3+...+n=n(n+1)2+2...Ch. 2.2 - Given the recursively defined sequence a1=1,a2=4,...Ch. 2.2 - Given the recursively defined sequence...Ch. 2.2 - Given the recursively defined sequence a1=0,a2=30,...Ch. 2.2 - Given the recursively defined sequence , and , use...Ch. 2.2 - The Fibonacci sequence fn=1,1,2,3,5,8,13,21,... is...Ch. 2.2 - Let f1,f2,...,fn be permutations on a nonempty set...Ch. 2.2 - Define powers of a permutation on by the...Ch. 2.3 - Label each of the following statements as either...Ch. 2.3 - Label each of the following statement as either...Ch. 2.3 - Label each of the following statement as either...Ch. 2.3 - Label each of the following statement as either...Ch. 2.3 - Label each of the following statement as either...Ch. 2.3 - Label each of the following statement as either...Ch. 2.3 - Prob. 7TFECh. 2.3 - Prob. 8TFECh. 2.3 - Label each of the following statement as either...Ch. 2.3 - Prob. 10TFECh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Write and as given in Exercises, find the q and...Ch. 2.3 - Write a and b as given in Exercises 316, find the...Ch. 2.3 - Write and as given in Exercises, find the q and...Ch. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Write a and b as given in Exercises 316, find the...Ch. 2.3 - Write a and b as given in Exercises 316, find the...Ch. 2.3 - Write and as given in Exercises, find the and ...Ch. 2.3 - Write and as given in Exercises, find the and ...Ch. 2.3 - Write and as given in Exercises, find the and ...Ch. 2.3 - Write and as given in Exercises, find the and...Ch. 2.3 - Write a and b as given in Exercises 316, find the...Ch. 2.3 - 17. If a,b and c are integers such that ab and ac,...Ch. 2.3 - Let R be the relation defined on the set of...Ch. 2.3 - 19. If and are integers with and . Prove that...Ch. 2.3 - Let a,b,c and d be integers such that ab and cd....Ch. 2.3 - Prove that if and are integers such that and ,...Ch. 2.3 - Prove that if and are integers such that and ,...Ch. 2.3 - Let a and b be integers such that ab and ba. Prove...Ch. 2.3 - Let , and be integers . Prove or disprove that ...Ch. 2.3 - Let ,, and be integers. Prove or disprove that ...Ch. 2.3 - 26. Let be an integer. Prove that . (Hint:...Ch. 2.3 - Let a be an integer. Prove that 3|a(a+1)(a+2)....Ch. 2.3 - Let a be an odd integer. Prove that 8|(a21).Ch. 2.3 - Prob. 29ECh. 2.3 - Let be as described in the proof of Theorem. Give...Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - In Exercises, use mathematical induction to prove...Ch. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - In Exercises, use mathematical induction to prove...Ch. 2.3 - In Exercises, use mathematical induction to prove...Ch. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - In Exercises, use mathematical induction to prove...Ch. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - 49. a. The binomial coefficients are defined in...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - Prob. 8TFECh. 2.4 - Prob. 9TFECh. 2.4 - Prob. 10TFECh. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - True or false
Label each of the following...Ch. 2.4 - List all the primes lessthan 100.Ch. 2.4 - For each of the following pairs, write andin...Ch. 2.4 - In each part, find the greatest common divisor...Ch. 2.4 - Find the smallest integer in the given set.
{ and ...Ch. 2.4 - Prove that if p and q are distinct primes, then...Ch. 2.4 - Show that n2n+5 is a prime integer when n=1,2,3,4...Ch. 2.4 - If a0 and ab, then prove or disprove that (a,b)=a.Ch. 2.4 - If , prove .
Ch. 2.4 - Let , and be integers such that . Prove that if ,...Ch. 2.4 - Let be a nonzero integer and a positive integer....Ch. 2.4 - Let ac and bc, and (a,b)=1, prove that ab divides...Ch. 2.4 - Prove that if , , and , then .
Ch. 2.4 - Let and . Prove or disprove that .
Ch. 2.4 - Prob. 14ECh. 2.4 - Let r0=b0. With the notation used in the...Ch. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prove that if n is a positive integer greater than...Ch. 2.4 - Prob. 20ECh. 2.4 - Let (a,b)=1 and (a,c)=1. Prove or disprove that...Ch. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Let (a,b)=1. Prove that (a,bn)=1 for all positive...Ch. 2.4 - Prove that if m0 and (a,b) exists, then...Ch. 2.4 - Prove that if d=(a,b), a=a0d, and b=b0d, then...Ch. 2.4 - Prove that the least common multiple of two...Ch. 2.4 - Let and be positive integers. If and is the...Ch. 2.4 - Prob. 29ECh. 2.4 - Let , and be three nonzero integers.
Use...Ch. 2.4 - Find the greatest common divisor of a,b, and c and...Ch. 2.4 - Use the second principle of Finite Induction to...Ch. 2.4 - Use the fact that 3 is a prime to prove that there...Ch. 2.4 - Prob. 34ECh. 2.4 - Prove that 23 is not a rational number.Ch. 2.5 - True or False
Label each of the following...Ch. 2.5 - True or False
Label each of the following...Ch. 2.5 - Label each of the following statements as either...Ch. 2.5 - Label each of the following statements as either...Ch. 2.5 - Label each of the following statements as either...Ch. 2.5 - Label each of the following statements as either...Ch. 2.5 - Label each of the following statements as either...Ch. 2.5 - In this exercise set, all variables are...Ch. 2.5 - In this exercise set, all variables are...Ch. 2.5 - Find a solution , , for each of the congruences ...Ch. 2.5 - Find a solution , , for each of the congruences ...Ch. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Prob. 6ECh. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Find a solution , , for each of the congruences ...Ch. 2.5 - Prob. 10ECh. 2.5 - Find a solution , , for each of the congruences ...Ch. 2.5 - Prob. 12ECh. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Prob. 14ECh. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Prob. 16ECh. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Find a solution x, 0xn, for each of the...Ch. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Find a solution , , for each of the congruences ...Ch. 2.5 - 25. Complete the proof of Theorem : If and is...Ch. 2.5 - Complete the proof of Theorem 2.24: If ab(modn)...Ch. 2.5 - Prove that if a+xa+y(modn), then xy(modn).Ch. 2.5 - 28. If and where , prove that .
Ch. 2.5 - 29. Find the least positive integer that is...Ch. 2.5 - 30. Prove that any positive integer is congruent...Ch. 2.5 - 31. If , prove that for every positive integer .
Ch. 2.5 - 32. Prove that if is an integer, then either or...Ch. 2.5 - Prove or disprove that if n is odd, then...Ch. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - In the congruences axb(modn) in Exercises 4053, a...Ch. 2.5 - In the congruences in Exercises, and may not be...Ch. 2.5 - In the congruences in Exercises, and may not be...Ch. 2.5 - In the congruences axb(modn) in Exercises 4053, a...Ch. 2.5 - In the congruences in Exercises, and may not be...Ch. 2.5 - Prob. 45ECh. 2.5 - In the congruences in Exercises, and may not be...Ch. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - In the congruences in Exercises, and may not be...Ch. 2.5 - In the congruences in Exercises, and may not be...Ch. 2.5 - In the congruences ax b (mod n) in Exercises...Ch. 2.5 - In the congruences axb(modn) in Exercises 4053, a...Ch. 2.5 - Prob. 53ECh. 2.5 - 54. Let be a prime integer. Prove Fermat's Little...Ch. 2.5 - 55. Prove the Chinese Remainder Theorem: Let , , ....Ch. 2.5 - 56. Solve the following systems of congruences.
...Ch. 2.5 - Prob. 57ECh. 2.5 - a. Prove that 10n(1)n(mod11) for every positive...Ch. 2.6 - Label each of the following statements as either...Ch. 2.6 - True or False
Label each of the following...Ch. 2.6 - Prob. 3TFECh. 2.6 - True or False
Label each of the following...Ch. 2.6 - True or False
Label each of the following...Ch. 2.6 - Prob. 6TFECh. 2.6 - Prob. 7TFECh. 2.6 - Prob. 8TFECh. 2.6 - Prob. 1ECh. 2.6 - a. Verify that [ 1 ][ 2 ][ 3 ][ 4 ]=[ 4 ] in 5. b....Ch. 2.6 - Make addition tables for each of the following....Ch. 2.6 - Make multiplication tables for each of the...Ch. 2.6 - Find the multiplicative inverse of each given...Ch. 2.6 - Prob. 6ECh. 2.6 - Find all zero divisors in each of the following n....Ch. 2.6 - Whenever possible, find a solution for each of the...Ch. 2.6 - Let [ a ] be an element of n that has a...Ch. 2.6 - Solve each of the following equations by finding [...Ch. 2.6 - In Exercise, Solve the systems of equations in.
...Ch. 2.6 - In Exercise, Solve the systems of equations...Ch. 2.6 - In Exercise 1114, Solve the systems of equations...Ch. 2.6 - Prob. 14ECh. 2.6 - Prove Theorem.
Theorem 2.30 Multiplication...Ch. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Prob. 23ECh. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prove that a nonzero element in is a zero divisor...Ch. 2.7 - True or False
Label each of the following...Ch. 2.7 - Prob. 2TFECh. 2.7 - Prob. 3TFECh. 2.7 - Prob. 4TFECh. 2.7 - Suppose 4- bit words abcd are mapped onto 5- bit...Ch. 2.7 - Prob. 2ECh. 2.7 - Prob. 3ECh. 2.7 - Prob. 4ECh. 2.7 - Suppose a codding scheme is devised that maps -bit...Ch. 2.7 - Suppose the probability of erroneously...Ch. 2.7 - Prob. 7ECh. 2.7 - Suppose the probability of incorrectly...Ch. 2.7 - Prob. 9ECh. 2.7 - Is the identification number 11257402 correct if...Ch. 2.7 - Show that the check digit in bank identification...Ch. 2.7 - Suppose that the check digit is computed as...Ch. 2.7 - Prob. 13ECh. 2.7 - Prob. 14ECh. 2.7 - Verify that the check digit in a UPC symbol...Ch. 2.7 - Prob. 16ECh. 2.7 - Prob. 17ECh. 2.7 - Prob. 18ECh. 2.7 - Prob. 19ECh. 2.7 - Prob. 20ECh. 2.7 - Prob. 21ECh. 2.7 - Prob. 22ECh. 2.7 - Prob. 23ECh. 2.7 - Prob. 24ECh. 2.7 - Prob. 25ECh. 2.7 - Prob. 26ECh. 2.8 - Label each of the following statements as either...Ch. 2.8 - Prob. 2TFECh. 2.8 - Prob. 3TFECh. 2.8 - In the -letter alphabet A described in Example,...Ch. 2.8 - Prob. 2ECh. 2.8 - Prob. 3ECh. 2.8 - Prob. 4ECh. 2.8 - In the -letter alphabet described in Example, use...Ch. 2.8 - Prob. 6ECh. 2.8 - Prob. 7ECh. 2.8 - Use the alphabet C from the preceding problem and...Ch. 2.8 - Suppose that in a long ciphertext message the...Ch. 2.8 - Suppose that in a long ciphertext message the...Ch. 2.8 - Suppose the alphabet consists of a through z, in...Ch. 2.8 - Suppose the alphabet consists of a through, in...Ch. 2.8 - Prob. 13ECh. 2.8 - Prob. 14ECh. 2.8 - a. Excluding the identity cipher, how many...Ch. 2.8 - Rework Example 5 by breaking the message into...Ch. 2.8 - Suppose that in an RSA Public Key Cryptosystem,...Ch. 2.8 - Suppose that in an RSA Public Key Cryptosystem,...Ch. 2.8 - Suppose that in an RSA Public Key Cryptosystem....Ch. 2.8 -
Suppose that in an RSA Public Key Cryptosystem....Ch. 2.8 - Prob. 21ECh. 2.8 - Prob. 22ECh. 2.8 - Prob. 23ECh. 2.8 - Prob. 24ECh. 2.8 - Prob. 25ECh. 2.8 - Prob. 26E
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- If $8000 is deposited into an account earning simple interest at an annual interest rate of 4% for 10 years, howmuch interest was earned? Show you work.arrow_forward10-2 Let A = 02-4 and b = 4 Denote the columns of A by a₁, a2, a3, and let W = Span {a1, a2, a̸3}. -4 6 5 - 35 a. Is b in {a1, a2, a3}? How many vectors are in {a₁, a₂, a3}? b. Is b in W? How many vectors are in W? c. Show that a2 is in W. [Hint: Row operations are unnecessary.] a. Is b in {a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ○ A. No, b is not in {a₁, a2, 3} since it cannot be generated by a linear combination of a₁, a2, and a3. B. No, b is not in (a1, a2, a3} since b is not equal to a₁, a2, or a3. C. Yes, b is in (a1, a2, a3} since b = a (Type a whole number.) D. Yes, b is in (a1, a2, 3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear combination of them. In particular, b = + + ☐ az. (Simplify your answers.)arrow_forward14 14 4. The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. How does the printing rate for Printer B compare to the printing rate for Printer A? The printing rate for Printer B is than the rate for Printer A because the rate of 25 pages per minute is than the rate of for Printer A. pages per minute RIJOUT 40 fy Printer Rat Number of Pages 8N WA 10 30 20 Printer A 0 0 246 Time (min) Xarrow_forward
- OR 16 f(x) = Ef 16 χ по x²-2 410 | y = (x+2) + 4 Y-INT: y = 0 X-INT: X=0 VA: x=2 OA: y=x+2 0 X-INT: X=-2 X-INT: y = 2 VA 0 2 whole. 2-2 4 y - (x+2) = 27-270 + xxx> 2 क् above OA (x+2) OA x-2/x²+0x+0 2 x-2x 2x+O 2x-4 4 X<-1000 4/4/2<0 below Of y VA X=2 X-2 OA y=x+2 -2 2 (0,0) 2 χarrow_forwardI need help solving the equation 3x+5=8arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forward
- What is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward
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Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY