The steps are shown below: -5<x<1
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
|x +2 | <-3
If we take the module is positive,
x+2 -2 < -3-2
x < -5
If we take the module is negative,
-( x+2) < -3
-x -2 < -3
-x -2 +2 < -3 +2
-x< -1
x>1
Combining the inequalities,
-5<x<1
Learn more about inequality here:
https://brainly.com/question/18521356
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