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

1 Answer
Jun 8, 2015

(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)