Look at the inequality.

|*y*+3|≥5

Since *y*+3 can be either positive or negative, split the inequality into two cases.

** positive negative**

* **y*+3≥5 and -(*y*+3)≥5

First, solve the positive case.

*y*+3 ≥5*y*

y + 3 - 3 ≥ 5y -3

Next, solve the negative case.

-(*y*+3) ≥5-

*y*–3 ≥5

*y *≥8

*y *≤- 8

Now, see if the two inequalities can be combined into a single statement. Since there aren't any numbers that are both greater than or equal to 2 and less than or equal to -8, the two solutions cannot be combined. Instead, they must be joined with **or**.*y*≤-8 or *y*≥2

Finally, graph *y*≤-8 or *y*≥2.

Skills to recall

1.What is an inequality in math

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2.How to graph a compound inequality

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