   Chapter 1.1, Problem 9TFE

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Textbook Problem
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# True or FalseLabel each of the following statements as either true or false. A − B = C − B implies A = C , for all sets A , B , and C .

To determine

Whether the statement, ‘AB=CB implies A=C, for all sets A,B, and C’ is true or false.

Explanation

Formula Used:

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

Explanation:

Consider the sets A,B, and C such that,

A={a,b}B={b,c}C={a,b,c}

So,

AB={x|xAandxB}={a} …

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