Solution Found!
List the members of these sets.a) {x
Chapter 1, Problem 1E(choose chapter or problem)
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 \(x^2=2\)}
Questions & Answers
QUESTION:
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: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}