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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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In Exercises 14 35 , prove each statement.

If A B and B C , then A C .

To determine

To prove: The statement if AB and BC, then AC.

Explanation

Formula Used:

If A and B are two sets. Then A is called a subset of B if and if only every element of A is an element of B.

Proof:

Let xA.

Given AB then,

xAxB

Also, BC then,

xBxC

Thi

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