2 Answers

Xizzhu · Answer 1 · 2023-07-22T09:48:35+0000

Hi student, let me help you out!

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Let's recall the process of solving inequalities.

Equations and inequalities are similar in many ways. One of them is: The overall goal is to get the variable we're solving for all by itself.

The process of solving an inequality is the same as solving an equation.

Here's what we should do to solve the given inequality:

Step 1: Subtract 5x from both sides:
$\mathrm{-6x-5x+8\geq -58}$ .

Upon simplifying, we obtain
$\mathrm{-11x+8\geq -58}$ .

Step 2: Subtract 8 from both sides:
$\mathrm{-11x\geq -58-8}$ .

Upon simplifying, we obtain
$\mathrm{-11x\geq -66}$ .

Step 3: Solve for x by dividing both sides by -11:
$\mathrm{-11x/(-11)\geq -66/(-11)}$ .

Upon simplifying, we obtain
$\bigstar\underline{\boxed{\mathrm{x\leq 6}}}$ .

Notice that the sign of the inequality changed from "greater than or equal to" to "less than or equal to".

Hope this helped you out, ask in comments if any queries arise.

$\underline{\rule{300}{4}}$

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