or all integers a, b, c, m with m > 0 and c > 0, if a ≡ b (mod m) then ac ≡ bc (mod mc)

Question

or all integers a, b, c, m with m > 0 and c > 0, if a ≡ b (mod m) then ac ≡ bc (mod mc)
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Solution 1

The statement is asking to prove that for all integers a, b, c, m with m > 0 and c > 0, if a is congruent to b modulo m, then ac is congruent to bc modulo mc.

Here's the step-by-step proof:

  1. Start with the given congruence a ≡ b (mod m). By definition of congruence, this means that m divides (a Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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