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5th Edition

EPP + 1 other

Publisher: Cengage Learning,

ISBN: 9781337694193

Chapter 6.2, Problem 3ES

Textbook Problem

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In 3 and 4, supply explanations of the steps in the given proofs.

__Theorem: __For all sets *A, B, *and *C*, if
__Proof:__

Statement |
Explanation |

Suppose A, B, and C are any sets such that |

and

.

starting point

We must show that

.

conclusion to be shown

Let *x *be any element in A.

start of an element proof

Then *x *is in *B*.

__(____a____) .__
It follows that

since

[as was to be shown].__(____c____) .__

To determine

Proof. Suppose

**Given information:**

For all sets

**Concept used:**

**Calculation:**

Let

Prove that, if

According to the definition of subset, the statement

Also, the statement

Similarly, the statement A

Proof.

Since

Therefore

The appropriate word to fill in the blank

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The appropriate word to fill in the blank

The appropriate word to fill in the blank

**Conclusion:**

The appropriate word to fill in the blank

Discrete Mathematics With Applications

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