Identify if the given statement is true or false: a. When 314^162 is divided by 162, the remainder is 3. b. The following members are congruent modulo 17, 20, 37, -14 and -106 c. The number 67^67 - 4 is divisible by 63. d. The inequality 2x - 3 < 2x has an infinite number of solutions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 56E
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Identify if the given statement is true or false: a. When 314^162 is divided by 162, the remainder is 3. b. The following members are congruent modulo 17, 20, 37, -14 and -106 c. The number 67^67 - 4 is divisible by 63. d. The inequality 2x - 3 < 2x has an infinite number of solutions.
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