The contrapositive of "(There are no integers a and b such that 3a? = b²) = (V3 € Q)* is: a. (V3 e Q) = (There exist integers a and b such that 3a? = b²). b. (V3 € Q) = (There are no integers a and b such that 3a? = b²). O C. (There exist integers a and b such that 3a² = b²) = (v3 e Q). %3!

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 7E
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The contrapositive of "(There are no integers a and b such that 3a? = b²) = (V3 € Q)* is:
a. (V3 e Q) = (There exist integers a and b such that 3a? = b²).
b. (V3 € Q) = (There are no integers a and b such that 3a? = b²).
O C.
(There exist integers a and b such that 3a² = b²) = (v3 e Q).
%3!
Transcribed Image Text:The contrapositive of "(There are no integers a and b such that 3a? = b²) = (V3 € Q)* is: a. (V3 e Q) = (There exist integers a and b such that 3a? = b²). b. (V3 € Q) = (There are no integers a and b such that 3a? = b²). O C. (There exist integers a and b such that 3a² = b²) = (v3 e Q). %3!
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