List the members of the these sets: a. {x | x is a real number such as x2 = 1}

real-numbers

#1

Anyone know how to do this?

List the members of the these sets:
a. {x | x is a real number such as 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:

Just list the numbers which follow the given condition. Now, there are two real numbers whose squares equal 1, i.e. 1 and -1. So,
(a). {1, -1}
similarly,
(b). {1,2,3,4,5,6,7,8,9,10,11}
©. {1,4,9,16,25,36,49,64,81}, these are all square of integers 1,2,3…9
(d). It’s a null set as there’s no integer whose square is equal to 2.