What is the solution set of x 5? 1. the empty set 2. all real numbers 3. the numbers between -5 and 5 4. all numbers less than -5 and greater than 5

Question

What is the solution set of x ?

1. the empty set
2. all real numbers
3. the numbers between -5 and 5
4. all numbers less than -5 and greater than 5

Answer 1

3. the numbers between -5 and 5

Explanation:

Let set A=
`\x` and set
`B=\ x<5\`.

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.