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Consider the following false statement: For all integers a and b, if ab = 1 (mod 8), then a = 1 (mod 8) or b = 1 (mod 8). (a) Which of the following could be used as a counterexample. Select all that apply. a = -7 and b = −7 a = 1 and b = 23 ☐ a = 3 and b: = −5 ☐ a = 4 and b = 6 □ a = −1 and b = −9

Consider the following false statement: For all integers a and b, if ab = 1 (mod 8), then a = 1 (mod 8) or b = 1 (mod 8). (a) Which of the following could be used as a counterexample. Select all that apply. a = -7 and b = −7 a = 1 and b = 23 ☐ a = 3 and b: = −5 ☐ a = 4 and b = 6 □ a = −1 and b = −9

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 34E
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Consider the following false statement: For all integers a and b, if ab = 1 (mod 8), then a = 1 (mod 8) or b = 1 (mod 8). (a) Which of the following could be used as a counterexample. Select all that apply. a = -7 and b = −7 a = 1 and b = 23 ☐ a = 3 and b: = −5 ☐ a = 4 and b = 6 □ a = −1 and b = −9
Transcribed Image Text:Consider the following false statement: For all integers a and b, if ab = 1 (mod 8), then a = 1 (mod 8) or b = 1 (mod 8). (a) Which of the following could be used as a counterexample. Select all that apply. a = -7 and b = −7 a = 1 and b = 23 ☐ a = 3 and b: = −5 ☐ a = 4 and b = 6 □ a = −1 and b = −9
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