Solve (3r+7)2leq-34

$$( 3 r + 7 ) 2 \leq - 34$$

Solve for r

$$r\leq -8$$

Solution Steps

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$3r+7\leq \frac{-34}{2}$$

Divide -34 by 2 to get -17.

$$3r+7\leq -17$$

Subtract 7 from both sides.

$$3r\leq -17-7$$

Subtract 7 from -17 to get -24.

$$3r\leq -24$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$r\leq \frac{-24}{3}$$

Divide -24 by 3 to get -8.

$$r\leq -8$$