00:02
In this problem, the first question is to list all the members of the set of all x such that x is a real number, that is it belongs to the set of real numbers are and x square is equal to 1.
00:15
Now, find all real numbers that satisfies the condition x square is equal to 1.
00:21
From here, we get x is equal to the positive or negative square root of 1 by taking square root on both sides.
00:29
That is we get x is equal to positive one or x is equal to negative one therefore the set has members one and negative one this is the required first answer the second question is to list all the members of the set set of all x such that x is a positive integer that is it is positive and belongs to the set of integers z and it must be less than 12 now list all the positive integers less than 12.
01:01
Now list all the they are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11.
01:11
These are the required elements in the given set.
01:16
The next question is to list all the elements in the set, set of all x such that x is the square of an integer and also it must be less than 100.
01:33
Now the elements in this set are the first element is zero since it is a square of itself.
01:40
Now the square of positive and negative one is one.
01:44
The square of positive and negative 2 is 4.
01:50
Similarly the square of 3 and negative 3 both are 9...