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Solve the following inequality and graph the solution set. |x+2|+1>6

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The inequality can be simplified to:

-7 < x < 3

And the graph can be seen in the image at the end.

How to solve the inequality?

Here we have the inequality:

|x + 2| + 1 > 6

To solve this, we need to isolate the variable x, so if we first subtract 1 we get:

|x + 2| +1 - 1 > 6 - 1

|x + 2| > 5

The absolute value part can be decomposed into two.

-5 < x + 2 < 5

Now we can subtract 2 in all the inequality, so we get:

-5 - 2 < x + 2 - 2 < 5 - 2

-7 < x < 3

The graph of this can be seen below

Solve the following inequality and graph the solution set. |x+2|+1>6-example-1
User Kellee
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