Algebra Examples

$- 4 > y + 2 > - 10$

Step 1

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

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Step 1.1

Subtract $2$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 4 - 2 > y > - 10 - 2$

Step 1.2

Subtract $2$ from $- 4$ .

$- 6 > y > - 10 - 2$

Step 1.3

Subtract $2$ from $- 10$ .

$- 6 > y > - 12$

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.

$- 12 < y < - 6$

Step 3