# Algebra 1 : Systems of Inequalities

## Example Questions

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### Example Question #36 : How To Find The Solution To An Inequality With Division

Solve the following inequality:

Explanation:

Divide by negative twelve on both sides of the inequality.

Dividing by a negative value requires changing the direction of the sign.

Simplify both sides.

### Example Question #37 : How To Find The Solution To An Inequality With Division

Solve the inequality:

Explanation:

Divide both sides by negative two.  We will need to switch the direction of the sign.

Simplify both sides and switch the sign.  Rewrite the complex fraction such that dividing by a negative two is similar to multiplying by negative half.

Multiply the fractions on the right.

### Example Question #38 : How To Find The Solution To An Inequality With Division

Solve the inequality:

Explanation:

Dividing by negative one-eighth is similar to multiplying by negative eight on both sides.  Since we are dividing by a negative number, the sign will switch.

Simplify both sides.