Answer
a) Divide by 3
b) Add 2
c) Rearrange the equation as $ -8 \leq 3x+2 \leq 8 $
Work Step by Step
We want to isolate x
a) We see that x is multiplied by 3. Therefore, we’ll divide both sides by 3, which is a positive number and will not change the orientation of the inequality
b) The first component we want to get rid of is the -2, do we add 2 to both sides.
c) The absolute value gives us two different cases, a positive one: $ 3x + 2 \leq 8 $ and one where we multiply by negative one, which gives us $ 3x + 2 \geq - 8 $. So rearrange the equation as $ -8 \leq 3x+2 \leq 8 $
