   Chapter 1.1, Problem 36E

Chapter
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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|xAorxB}.

Explanation:

Consider the statement AB=AC implies B=C.

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

Then, AB is given as,

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

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