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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.1 - Problem 37e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.1 - Problem 37e

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Find counterexamples to each of these statements about

ISBN: 9780073383095 37

Solution for problem 37E Chapter 4.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 37E

Find counterexamples to each of these statements about congruences.a) If ac ? bc (mod m), where a, b, c, and m are integers with m ? 2, then a ? b (mod m).________________b) If a ? b (mod m) and c ? d (mod m), where a, b, c, d, and m are integers with c and d positive and m ? 2, then ac ? bd (mod m).

Step-by-Step Solution:

Solution:Step 1In this problem we have to find counterexamples to these statements about congruences.we can say integer a is congruent to b (mod) m, if a and b are integers and m is a positive integer and m divides( a-b) completely that is m | (a-b).Or,We can also say a is congruent to b (mod) m. if value of

Step 2 of 3

Step 3 of 3

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