Algebra Examples

$0 > x + 12 > - 4$

Step 1

Move all terms not containing $x$ from the center section of the inequality.

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Step 1.1

Subtract $12$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$0 - 12 > x > - 4 - 12$

Step 1.2

Subtract $12$ from $0$ .

$- 12 > x > - 4 - 12$

Step 1.3

Subtract $12$ from $- 4$ .

$- 12 > x > - 16$

Step 2

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

$- 16 < x < - 12$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$- 16 < x < - 12$

Interval Notation:

$(- 16, - 12)$

Step 4