Question

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

Answer 1

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

Explanation:

(1) - 3x < - 6 --> `x > (-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.)