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Algebra 1

Solving Compound Inequalities​

Algebra 1 Solving Compound Inequalities​-example-1
User Damonsson
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1 Answer

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-25 ≤ -5n ≤ 30

Let's solve one side of the inequality at a time.

-5n ≤ 30

Divide both sides by -5. When you divide by a negative number, it switches the sign.

n ≥ -6

Now, let's do the other side of the inequality.

-5n ≥ -25

Divide both sides by -5.

n ≤ 5

Our new compound inequality looks like: -6 ≤ n ≤ 5

Put one point at -6 and one point at 5 and connect the dots to graph the inequality.

User Hofnarwillie
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