5. What is the solution of |3x-3|_<18?
A) -18_< x _<18
B) -15_< x _<21
C) -7_< x _<5
D) -5_< x _<7

Note: _< _> mean less than or equal to and greater than or equal to. (I didnt have a way to type that out.

Respuesta :

Answer : D

WORK...
[tex]|3x-3| \leq 18 [/tex]

PART 1:
[tex]3x-3 \leq 18
add 3 on both sides...
3x \leq 21
divide by 3 on both sides...
x \leq 7[/tex]

PART 2:
[tex]3x-3 \geq -18 
add 3 on both sides...
3x \geq -15
divide 3 on both sides...
x \geq -5[/tex]

plug both answers together..
[tex]-5 \leq x \leq 7[/tex]