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### Course: 7th grade > Unit 6

Lesson 6: One-step inequalities# One-step inequalities review

Review evaluating one-step inequalities, and try some practice problems.

## Inequalities symbols

Symbol | Meaning |
---|---|

Greater than | |

Greater than or equal to | |

Less than | |

Less than or equal to |

## Evaluating inequalities with addition and subtraction

We evaluate inequalities like we evaluate equations: we want to isolate the variable.

**Example 1:**$x+7>4$

To isolate $x$ , let's ${\text{subtract}7}$ from both sides.

Now, we simplify.

**Example 2:**$z-11{\textstyle \phantom{\rule{0.167em}{0ex}}}\text{}\underset{\u2015}{}{\textstyle \phantom{\rule{0.167em}{0ex}}}{\textstyle \phantom{\rule{0.167em}{0ex}}}5$

To isolate $z$ , let's ${\text{add}11}$ to both sides.

Now, we simplify.

*Want to learn more about one-step inequalities? Check out this video.*

### Practice set 1

## Evaluating inequalities with multiplication and division

Again, we want to isolate the variable. But things will get a little different when multiply or divide by a negative number. Look carefully to see what happens!

**Example 1:**$10x<-3$

To isolate $x$ , let's divide both sides by $10$ .

Now, we simplify.

**Example 2:**$\frac{y}{-6}}{\textstyle \phantom{\rule{0.167em}{0ex}}}\text{}\underset{\u2015}{}{\textstyle \phantom{\rule{0.167em}{0ex}}}\text{}4$

To isolate $y$ , let's multiply both sides by $-6$ .

Now, we simplify.

### Practice set 2

*Want to try more problems like this? Check out this exercise.*

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