Algebra 1
Solving Compound Inequalities
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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.