Question

How do you solve and graph the compound inequality `-2<=5 - x / 3<=2` ?

Answer 1

(1) `-2<= 5 - x/3` -> `x/3 <= 5 + 2 -> x/3 < 7 -> x <= 21`

(2)`5 - x/3 <= 2 -> x/3 >= 5 - 2 -> x/3 >= 3 -> x >= 9`

The solution set is the close interval [9, 21]

The 2 end points are included in the solution set.

-------------------|0--------------|9===========|21---------------