Solving One-Step Inequalities

a

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

7x\gt\text{-}21

\left.\text{LHS}\middle/7\right.\gt\left.\text{RHS}\middle/7\right.

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

MultNegIneqMultiply by

\text{-}1

and flip inequality sign

z\gt10

The solution set is $z\gt10.$

Solving One-Step Inequalities 1.1 - Solution