Question

How do you solve and graph the compound inequality `-2x - 5 <= -6` and `-2x + 5 >=6` ?

Answer 1

(1) `-2x - 5 <= -6 -> 2x >= 1 -> x > 1/2`

(2) `- 2x + 5 >= 6 -> 2x <= -1 -> x <= -1/2`

<============|-1/2-------------------|1/2 ==============>

Note. The 2 end points (-1/2) and (1/2) are included in the solution set.
Answer expressed in terms of half closed intervals:
(-infinity, -1/2] and [1/2, +infinity)