# Show that if A is an infinite set, then whenever B is a

## Problem 45E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 45E

Show that if A is an infinite set, then whenever B is a set. A ? B is also an infinite set.

Step-by-Step Solution:
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Solution:Step1To findWe have to show that if A is an infinite set, then whenever B is a set. A B is also an infinite set.Step2The union of sets A and B can be written asWe have to take all possible cases of set B.Case1:-Suppose A be an infinite set and B= then =AHence, A is an infinite set.Case2:-Assume B=A then is...

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