Question

Solve AND graph the inequality below. −2x−4≤11

Answer 1

Answer:

$x\ge \:-\frac{15}{2}$

The graph of the inequality is attached below.

Step-by-step explanation:

Given the inequality

$-2x-4\le 11$

$\mathrm{Add\:}4\mathrm{\:to\:both\:sides}$

$-2x-4+4\le \:11+4$

$-2x\le \:15$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-2x\right)\left(-1\right)\ge \:15\left(-1\right)$

$2x\ge \:-15$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2x}{2}\ge \frac{-15}{2}$

$x\ge \:-\frac{15}{2}$

The graph of the inequality is attached below.