Question

Solve absolute value inequality 4>|x+1|+2

Answer 1

-3<x<1

Explanation:

Answer 2

-3 < x <1

Explanation:

4 > | x + 1 | + 2

1. Isolate the absolute value;

Inverse operations;

4 > | x + 1 | + 2

-2 -2

2 > | x + 1 |

2. Remove the absolute value;

The absolute value of a value is the distance it is from zero. This means that when removing the absolute value, one has to account for two possibilities; when the value within the absolute value brackets is negative, and when it is positive. In the case of dealing with absolute value inequalities, one will have to set up an inequality with this in mind.

2 > | x + 1 |

-2 < x + 1 < 2

Inverse operations

-2 < x + 1 < 2

-1 -1

-3 < x < 1