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# Ifa is an uncountable set andb is a countable set. musta b ISBN: 9780073383095 37

## Solution for problem 17E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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Problem 17E

Ifa is an uncountable set andb is a countable set. musta ? b be uncountable?

Step-by-Step Solution:

Solution:Step 1: In the given problem we have to prove that if a is an uncountable set and b is a countable set. Must a b be uncountableStep 2: We have two sets a and bConsider b is countable then we can represent the elements {b1 b2 b3…...bn} but a is the uncountable set so it keeps infinite elements.Now for each set we have to find whether each set is finite, countably infinite, or uncountable.Example: Countably infinite: Integers which are multiple of 5 0,5,-5,10,-10…………. Uncountable: the real number between 5 and 6

Step 3 of 3

##### ISBN: 9780073383095

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