For each of the following statements state the converse, inverse, and contrapositive. Also determine the truth value
Question:
(a) [The universe comprises all positive integers.]
If m > n, then m2 > n2.
(b) [The universe comprises all integers.]
If a > b, then a2 > b2.
(c) [The universe comprises all integers.]
If m divides n and n divides p, then m divides p.
(d) [The universe consists of all real numbers.]
∀x [(x > 3) → (x2 > 9)]
(e) [The universe consists of all real numbers.]
For all real numbers x, if x2 + 4x - 21 > 0, then x > 3 or x < - 7.
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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