1 Answer

Gbam · Answer 1 · 2023-10-15T21:55:31+0000

Step-by-step explanation:

We are given the following inequality;

$-24\le x-3-8x$

To begin solving this inequality we shall first switch sides as follows;

$x-3-8x\le-24$

We now combine like terms;

$\begin{gathered} x-8x-3\le-24 \\ -7x-3\le-24 \end{gathered}$

Next we add 3 to both sides;

$\begin{gathered} -7x-3+3\le-24+3 \\ -7x\le-21 \end{gathered}$

Next we divide both sides by -7.

At this point we must bear in mind the rule of inequalities such that when we divide by a negative number, the inequality sign flips over.

We now have;

$(-7x)/(-7)\ge(-21)/(-7)$
$x\ge3$

ANSWER:

$x\ge3$

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