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# List the members of these sets.a) {x | x is a real number ISBN: 9780073383095 37

## Solution for problem 1E Chapter 2.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 1E

List the members of these sets.

a) {x | x is a real number such that x2 = 1}

b) {x | x is a positive integer less than 12}

c) {x | x is the square of an integer and x<100}

d) {x | x is an integer such that x2 = 2}

Step-by-Step Solution:

Step 1:  In the given problem  we have to list the members of these sets.

a) {x | x is a real number such that x2= 1}

Real number includes all types of numbers like rational , fractions , whole numbers etc.

For  x2= 1

This is only possible by {-1,1}

Put x=-1

Then       (-1)2=1

Similarly put =1

Then

(1)2=1

Therefore the set of  x will be {-1,1}

Step 2:

b) {x | x is a positive integer less than 12}

Integers is defined as the number  can be written positive, negative or zero also without fraction form.

For the given statement integer must be positive.Let suppose x be the positive natural numbers less than 12

Therefore, the set of x will be {1,2,3,4,5,6,7,8,9,10,11}

Step 3 of 4

Step 4 of 4

##### ISBN: 9780073383095

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