Algebra Examples

$- 7 > y - 8 \geq - 12$

Step 1

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

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Step 1.1

Add $8$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 7 + 8 > y \geq - 12 + 8$

Step 1.2

Add $- 7$ and $8$ .

$1 > y \geq - 12 + 8$

Step 1.3

Add $- 12$ and $8$ .

$1 > y \geq - 4$

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.

$- 4 \leq y < 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$- 4 \leq y < 1$

Interval Notation:

$[- 4, 1)$

Step 4