Practice Solving One-Step Inequalities

To isolate ‍\(x\), let's divide both sides by ‍9.

\(\dfrac{-18}{9} < \dfrac{9x}{9}\)

Now, we simplify!

\(-2 <  x\) or \(x > -2\)

To isolate ‍\(x\), let's subtract -4 from both sides.

\(-4-(-4)+x\leq9-(-4)\)

Now, we simplify!

\(x\leq13\)

To isolate ‍\(x\), let's divide both sides by ‍-7.

Remember that when we divide (or multiply) an inequality by a negative number, we have to flip the direction of the inequality.

\(\begin{aligned}
-7x& > 10\\\\
\dfrac{-7x}{-7}& < \dfrac{10}{-7}
\end{aligned}\)

Now, we simplify!

\( x < - \dfrac{10}{7} \)

To isolate ‍\(x\), let's multiply both sides by ‍7.

\(\dfrac x 7\cdot7\geq-6\cdot7\)

Now, we simplify!

\(x\geq-42\)

To isolate ‍\(x\), let's add 10 to both sides.

\(-3+10 < x-10+10\)

Now, we simplify!

\(7 < x\) or \(x > 7\)

To isolate ‍\(x\), let's divide both sides by ‍-1.

Remember that when we divide (or multiply) an inequality by a negative number, we have to flip the direction of the inequality.

\(\begin{aligned}
-x& < -29\\\\
\dfrac{-x}{-1}& > \dfrac{-29}{-1}
\end{aligned}\)

Now, we simplify!

\(x > 29\)

To isolate ‍\(x\), let's multiply both sides by ‍4.

\(7\cdot4>\dfrac{x}{4}\cdot4\)

Now, we simplify!

\(28 > x\) or \(x < 28\)