   Chapter 1.1, Problem 16E

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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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