List the members of these sets.a) {x | x is a real number

Question

Problem 1E

List the members of these sets.

a) {x | x is a real number such that $x^2=1$}

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 $x^2=2$}

Answer 1

Step-by-Step Solution:

Step 1 of 4

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

a) {x | x is a real number such that ${x}^{2}=1$ }

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

For ${x}^{2}=1$

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 of 4

Step 3 of 4

Solution for problem 1E Chapter 2.1