Solve 5(4w+6)geq18w+16

$$5 ( 4 w + 6 ) \geq 18 w + 16$$

Solve for w

$$w\geq -7$$

Solution Steps

Use the distributive property to multiply 5 by 4w+6.

$$20w+30\geq 18w+16$$

Subtract 18w from both sides.

$$20w+30-18w\geq 16$$

Combine 20w and -18w to get 2w.

$$2w+30\geq 16$$

Subtract 30 from both sides.

$$2w\geq 16-30$$

Subtract 30 from 16 to get -14.

$$2w\geq -14$$

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

$$w\geq \frac{-14}{2}$$

Divide -14 by 2 to get -7.

$$w\geq -7$$