How do you solve and graph the compound inequality #2x+5<=11# and #4(x-1)+12>=0#?

1 Answer
Nghi N.
Jul 14, 2015

Solve system of linear equations in one variable:
2x + 5 <= 11
4(x - 1) + 12 >= 0

Explanation:

(1) #2x + 5 <= 11 --> 2x <= 6 --> x <= 3#

(2) #4x - 4 + 12 >= 0 --> 4x >= - 8 --> x >= - 2#

------------|-2======|0===========|3--------------

Answer: closed interval [-2, 3]. The 2 critical points (-2) and (3) are included in the solution set.

Related questions
See all questions in Compound Inequalities
Impact of this question
3052 views around the world
You can reuse this answer
Creative Commons License