Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Prove the following; (A − B) − C = (A − C) − (B − C) A ∪ (B ∪ C) = (A ∪ B) ∪ C

Q: 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|?

A: We will solve the following

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 22n-3 12 00 ac? cn 4 Türkçe:…

A:

Q: Let A = {small, medium, large}, B = {yellow, magenta), and C = {triangle, round}. List the elements…

A: This question is about relation

Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: Let A= {1, 2, 3, 4, 5} and B = {∅}. Find A ∪ B.

A:

Q: Show that If (A ∩ B = ø) then P (A ∪ B) = P (A) + P (B)

A: Given that A ∩ B = ø This means P(A ∩ B ) = 0

Q: = [a b] and B =[2³]. a. Compute AB. b. If AB = 1-5₂ 1. Let A = find the entries of A, i.e. find the…

A:

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

A:

Q: If A={2,3,5,7}, B={2,4,6,8,10}, and C={1,2,3,4,5}, then what is (A∪C)∩(B∩C)?

A:

Q: Q. 02: (a) Verify the commutative propernties of union and Intersection with help of A = (1,2,3,4),…

A:

Q: 2. Prove: A – B = ANB

A:

Q: If AnB= {1,2, a, b} and A – B= {3,c}, then which of the following is A? O {1,2,a,b,c} {1,2,3,a,b,c}…

A: Given that A n B = {1, 2, a, b} and A - B = {3, c } then by using benn diagram we solve this…

Q: Prove the following statement: [a 0 0 If A = 0 b 0 ,a + 0, b + 0, c + 0, 0 |.a + 0, b + 0, c + 0,…

A: To prove: If A=a000b000c, a≠0, b≠0, c≠0, then A-1=1a0001b0001c.

Q: Let a, b and c be integers. Prove that if a does not divide b and a|(b+c), then a does not divide c

A: Let a, b and c be integers.

Q: Disprove by Contradiction If a,b,c ∈ ℕ, then at least one of a-b, a+c and b-c is even.

A:

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

Q: Can you find a,b,c, and d (if exists) such that AB = BA.

A:

Q: Example: If A = {1, 2, 3,4,5}, B = {1, 2,4}, C = {2, 3,5}, verify that, A×(B∩C) = (A×B)∩(A×C)

A: Simplify LHS: LHS=A×B∩C=1, 2, 3, 4, 5×1, 2, 4∩2, 3, 5=1, 2, 3, 4, 5×2=1, 2, 2, 2, 3, 2, 4, 2, 5, 2

Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

A:

Q: If a1, az, az,.-ans. be the A.P. and S, = a-1m+1+a-1m+2+a-1n+3 +.--+ am %3D Prove that :…

A: In this question we have to proof S1, S2, S3,.... are in Arithmetic Progression.

Q: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

Q: d = (a, b, c).

A:

Q: Show that A × B ≠ B × A, when A and B are nonempty, unless A = B

A:

Q: let a, b, and m be integer, prove that if 2a+3b>=12m+1, than a>=3m+1, or b>=2m+1

A: To prove: For integer a, b, and m if   2a+3b≥12m+1Than, either a≥3m+1, or b≥2m+1.

Q: If P (B) = 1/4, P (A ∪ B) = 1/2 and P (A|B) = 2/3, then which of the following statements is true?…

A: GivenP(B)=14P(A∪B)=12P(A|B)=23

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: -1 -2 -3 -4- 1 2 Let A = 1 1-

A:

Q: Let A; = [i, i + 1], i = 1,2, 3, 4,... Then A n A2 N A3n A4 is O A. {1} O B. { } O C. [1,5] O D.…

A: We have Ai = i, i+1 and i = 1, 2, 3, 4 (we need to consider only up to 4 since we have up to A4…

Q: Let |4|= 3m and B|= 4 , then |4 B| is m=3.6 إجابتك

A: Given that |A|=3m and |B|=4 find A-1B also m=3.6

Q: If a,,a,, a3,., a, are in HP, Prove that a,a, +a,a; +...+ a,.1 a, = (n - 1)a,a,.

A:

Q: Let a,b,c,d, and e be integers with a not equal to 0. if (ab,ac)=e and (b,c)=d, then e divides ad.…

A:

Q: Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2,…

A:

Q: If A = {1} and B = {1, 2, 3, 4, 5} , then which of the following is(are) true? Choose one answer and…

A:

Q: If A n CCB n C and AnCcBnC, then show that ASB.

A: Introduction :