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# Solving One-Step Inequalities

## Solving One-Step Inequalities 1.1 - Solution

a

To solve the inequality we can divide both sides by $7.$

$7x\gt\text{-}21$
$x\gt\text{-}3$

$x\gt\text{-}3$ solves the inequality.

b
Here we have a negative on both sides. We can solve it by multiplying (or dividing) both sides by $\text{-}1.$ But we have to remember to flip the inequality sign.
$\text{-} z\lt\text{-}10$
$z\gt10$

The solution set is $z\gt10.$