1) (√2-√6)/(√18-√24) is an irrational number. (2) Let S = Ø × A. Then, | P(S) |= 0, where P(S) denotes the power set and | | denotes cardinality (that is, the number of elements). (3) If n is a positive integer, then n is odd if and only if 5n+6 is odd. Select one of the following choices: (a) (2) and (3) are True, (1) is False. (b) (1) and (2) are True, (3) is False.

Q: Construct an example of a example of a Tautology not covered herein.

A: Tautology A tautology is a compound statement which is true for every value of the individual…

Q: Consider the following two statements: 1. Adding more independent variables can reduce (imperfect)…

A: Consider the following two statements:1. Adding more independent variables can reduce (imperfect)…

Q: 4) Solve the following linear system or indicate the nonexistence of solution. X1 – 2x2 + 5x3 – 3x4…

A: Or, take x2 = k Hence, solution of the system is x1 = 1+2k, x2 = k, x3 = 1, x4 = 2

Q: Which of the following statements is true? A.△JKL ≅ △MNO B.△JKL ≅ △PQR C.△STU ≅ △MNO D.△STU ≅ △JKL

A:

Q: п(5n-1) 2 + 7+ 12 + …+ (5n – 3) = ... - 2

A: We will prove the game statement by using the principle of mathematical induction in which we show…

Q: 3. Which of the following statements are true? There may be more than one correct answer. A. Ø CA B.…

A:

Q: C. let p= The student is intelligent and let q = The student is not an overachiever, (p V q) V ~q D.…

A: In this question, the concept of a truth table is applied. Truth Table In logic, a truth table is a…

Q: 2a + 56+c —а — 36 — 2с 3a + 76 +c -4a – 96 –c 2. T(а + bx + сх*). |

A: The objective is to write down the matrix of the given linear transformation withrespect to the…

Q: 3. Symbolize the following statement into P (be sure to include your translation key). 'No…

A: we have to symbolize the statement. No politicians are honest.

Q: Which of the following statements are true? Select all that apply. O{1,2,4} {1, 2, 3, 4} 00C…

A:

Q: Select the​ converse, inverse, and contrapositive for the following statement. If he wants courage,…

A:

Q: raining, then the ground is wet a.) Give the inverse of ? b.) Give the converse of ? c.) Give the…

A: (a) the inverse is : If it is not raining, then the ground is not wet.

Q: Consider the statements (P → q) and -P→ ¬q_ a. Are they logically equivalent? b. Justify your answer…

A:

Q: Write the logical expression for the circuit that corresponds to the following input/output table:

A: Step 1:

Q: Use De Morgan's laws to determine whether the two statements are equivalent. -(y A -x) → z, (y v x)…

A: