Question

Which of the following statements says that a number is between -5 and 5?

|x| > 5
|x| < 5
|x| = 5

Answer 1

id say |x|=5, that's my guess

Answer 2

B.
`|x|<5`

Explanation:

Let x be required number.

We are asked to choose the option that says that a number is between -5 and 5.

First of all, we will represent solution of each of our given option.

A.
`|x|>5`

Using absolute value definition if
`|u|>a`, then for
`u<-a\text{ and }u>a`, we can write our given inequality as
`x<-5\text{ and }x>5`. Therefore, option A is not a correct choice.

B.
`|x|<5`

Using absolute value definition if
`|u|<a`, then for
`-a<u<a`, we can write our given inequality as
`-5<x<5`. Therefore, option B is the correct choice.

C.
`|x|=5`

Using absolute value definition if
`|u|=a`, then for
`u=-a\text{ and }u=a`], we can write our given absolute value as
`x=-5\text{ and }x=5`. Therefore, option C is not a correct choice.