1 Answer

Scott Nelson · Answer 1 · 2021-03-11T19:20:45+0000

Answer:

$x\ge \:-(15)/(2)$

The graph of the inequality is attached below.

Explanation:

Given the inequality

$-2x-4\le 11$

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

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

$-2x\le \:15$

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

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

$2x\ge \:-15$

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

$(2x)/(2)\ge (-15)/(2)$

$x\ge \:-(15)/(2)$

The graph of the inequality is attached below.

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