# How do you graph the inequality -3x < -6 or x + 5< -2 ?

Feb 1, 2017

open intervals (- inf., -7) and (2, + inf.)

#### Explanation:

(1) - 3x < - 6 --> $x > \frac{- 6}{- 3} = 2$
(2) x + 5 < - 2 --> $x < - 7$

You may solve the linear compound inequalities by graphing, using the double-number-line technique:

(1) -------------------------------------- 0 ---------- 2 +++++++++++++++

(2) +++++ - 7-------------------------0 ---------------------------------------

By superimposing, we see the answer, that is the open intervals: (-inf., -7) and (2, +inf.)