Question

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

Answer 1

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

Answer 2

Answer:

B. $|x|$

Step-by-step 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 $ua$, we can write our given inequality as $x5$. Therefore, option A is not a correct choice.

B. $|x|$

Using absolute value definition if $|u|$, then for $-a$, we can write our given inequality as $-5$. 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.