   Chapter 1.1, Problem 37E

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Textbook Problem
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# Prove or disprove that A ∩ B = A ∩ C implies B = C .

To determine

Whether the statement, “AB=AC” implies B=C.

Explanation

Formula Used:

If A and B are two sets then AB is defined as {x|xAandxB}.

Explanation:

Consider the statement AB=AC implies B=C.

Let A={1,2,3,4,5}, B={3,5} and C={3,5,7,9}.

Then, AB is given as,

(AB)={1,2,3,4,5}

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