# How do you solve and graph #2(-3m - 5) ≥ -28 #?

##### 1 Answer

#### Explanation:

Manipulate the inequality as you would an equation. However there is a trap when doing so. If you multiply by negative one then you turn the inequality round the other way. I will show you why in the explanation.

Given:

Divide both sides by 2 (gets rid of the 2 on the left)

Add 5 to both sides (gets rid of the 5 on the left)

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Method 1:

Multiply both sides by (-1)

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Method 2:

Add

Add 9 to both sides

Write as:

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Notice that both

This demonstrates why you turn the inequality round the other way when you multiply by negative one

Divide both sides by 3