(4) State which of the following statements are true, vacuously true, or false. (a) (A-B)' = A' - B'. (b) If n is an integer which is both even and odd, then n is equal to 0. (c) If P(A) {0} then A Ø.

Q: _If A = Verify that [A-!]" = [A"]¬1 ? l1 2.

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A: As you have asked the problem ( b) only. I have solved this problem in two steps by showing the…

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Q: 5. (*) If a and b are nonzero integers such that a | b and b|a, prove that a = ±b.

A: .

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A: In math, long division is a method used for dividing large numbers into groups or parts. It breaks…

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A: To plot the piecewise continuous functions: f(x)=-x-1 if x≤-1xx2-x-2 if -1<x<2log2(x-1) if x≥2

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Q: Number 4 only. Thanks!

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A: We have given the inequality; 2|7-x| &lt; 2

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A: To Find: A formula for .

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A: We prove following statements by using contrapositive method.

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Q: 10. Which of the following mathematical statement is CORRECT? 1 1 D. (a²)i =ai A. a 5= B. a5 a5 =…

A: Solution

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Q: 13. 10n- 9 > -59 and n - 6 < 3 |

A: Using simplification,

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Q: Q2 1-The Euler's number (e) is a * rational number a. True b. False

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