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 $$x < 28$$