Respuesta :
Answer:
B. [tex]|x|<5[/tex]
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. [tex]|x|>5[/tex]
Using absolute value definition if [tex]|u|>a[/tex], then for [tex]u<-a\text{ and }u>a[/tex], we can write our given inequality as [tex]x<-5\text{ and }x>5[/tex]. Therefore, option A is not a correct choice.
B. [tex]|x|<5[/tex]
Using absolute value definition if [tex]|u|<a[/tex], then for [tex]-a<u<a[/tex], we can write our given inequality as [tex]-5<x<5[/tex]. Therefore, option B is the correct choice.
C. [tex]|x|=5[/tex]
Using absolute value definition if [tex]|u|=a[/tex], then for [tex]u=-a\text{ and }u=a[/tex]], we can write our given absolute value as [tex]x=-5\text{ and }x=5[/tex]. Therefore, option C is not a correct choice.
