Answer to Question #125563 in Discrete Mathematics for kavee

Question

List of 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}

Answer 1

Solution:

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

(b){x|x is a positive integer less than 12}={1,2,3,4,5,6,7,8,9,10,11}

(c){x|x is the square of an integer and x < 100}={1,4,9,16,25,36,49,64,81}

(d){x|x is an integer such that x² = 2}=$\varnothing$