Each of the following statements is either true or false. If a statement is true, prove it. If a statement is false, disprove it: a. For every natural number n, the integer n^2 + 17n + 17 is prime. b. If A and B are sets and A intersect B = the nullset, then P(A) - P(B) is a subset of P(A - B). c. If A and B are sets, then P(A) intersect P(B) = P(A intersect B). d. If p and q are prime numbers for which p < q, then 2p + q^2 is odd.

Each of the following statements is either true or false. If a statement is true, prove it. If a statement is false, disprove it: a. For every natural number n, the integer n^2 + 17n + 17 is prime. b. If A and B are sets and A intersect B = the nullset, then P(A) - P(B) is a subset of P(A - B). c. If A and B are sets, then P(A) intersect P(B) = P(A intersect B). d. If p and q are prime numbers for which p < q, then 2p + q^2 is odd.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 36E

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