Solve 2(7w-8)geq-86

$$2 ( 7 w - 8 ) \geq - 86$$

Solve for w

$$w\geq -5$$

Solution Steps

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

$$7w-8\geq \frac{-86}{2}$$

Divide -86 by 2 to get -43.

$$7w-8\geq -43$$

Add 8 to both sides.

$$7w\geq -43+8$$

Add -43 and 8 to get -35.

$$7w\geq -35$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$w\geq \frac{-35}{7}$$

Divide -35 by 7 to get -5.

$$w\geq -5$$