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

Jul 14, 2015

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

#### Explanation:

(1) $2 x + 5 \le 11 - \to 2 x \le 6 - \to x \le 3$

(2) $4 x - 4 + 12 \ge 0 - \to 4 x \ge - 8 - \to x \ge - 2$

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

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