   # To prove that a set A ∪ B is a subset of a set X , you start with any element x in A ∪ B and consider the two cases and . You then show that in either case . ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.2, Problem 3TY
Textbook Problem
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## To prove that a set A ∪ B is a subset of a set X, you start with any element x in A ∪ B and consider the two cases and . You then show that in either case .

To determine

To fill in the blanks of the given statement “To prove that a set AB is a subset of a set X, you start with any element x in AB and consider the two cases ____ and ___.You then show that in either case ____.”

### Explanation of Solution

To prove, one set X is a subset of another set Y, you suppose that x is any element of X, and you show that x is an element of Y.

And if xAB, then xAorxB.

So to prove that a set AB is a subset of a set X, you suppose that x is any element of AB and you show that x is an element of X

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