b We are asked to find and graph the solution set for all possible values of x in the given inequality.
∣3x−2∣≤2
To do this we will create a compound inequality by removing the absolute value. In this case, the solution set is any number
less than or equal to 2 away from the midpoint in the positive direction
and any number
less than 2 away from the midpoint in the negative direction.
Absolute Value Inequality: Compound Inequality: ∣3x−2∣≤2 -2≤∣3x−2∣≤2