Question

Which of the following is an equivalent form of the compound inequality0%5Ctextgreater%20%5C%20%20-%202x-%208%20%E2%A9%BE%20-8" id="TexFormula1" title=" - 44 \ \textgreater \ - 2x- 8 ⩾ -8" alt=" - 44 \ \textgreater \ - 2x- 8 ⩾ -8" align="absmiddle" class="latex-formula"> the options are below in picture

Answer 1

Given the compound inequality:

$-44>-2x-8⩾-8$

Let's find the equivalent form of the inequality.

To find the equivalent form, let's simplify the inequality.

SInce it is a compund inequality, we are to seperate the inequalities.

Simplify the first two inequalities, then simplify the last two inequalities.

We have:

First two inequalities: -44 > -2x - 8

Last two inequalities: -2x - 8 ⩾ -8

Let's simplify both

$\begin{gathered} -44>-2x-8 \\ \\ Rewrite\text{ the inequality and change the inequality sign:} \\ -2x-8$$\begin{gathered} \text{Second inequality:} \\ -2x-8⩾-8 \\ \end{gathered}$

Therefore, the equivalent form is:

$-2x-8$

ANSWER:

$d.\text{ -2x - 8$