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}

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}