How do you solve and graph |2x + 1| > -3?

1 Answer
Mar 10, 2018

x> -2 or x <1

Explanation:

|2x +1| > -3

Solve for the absolute value

We know either: 2x+1> -3 or 2x + 1 < - (-3)

Now let's solve the first possibility which is 2x + 1 > -3

2x + 1 > -3

Add -1 on both sides

2x + 1 -1 > -3 - 1

2x > -4

Divide both sides by 2

(2x)/2 > (-4)/2

x > -2

Now let's solve the second possibility

2x + 1 < - (-3)

2x + 1< 3

Add -1 on both sides

2x + 1 - 1 < 3 -1

2x < 2

(2x)/2 < 2/2

x < 1

Thus,

The answers are:

x > -2 or x < 1

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