Solve 3w-1/2(2w+8)>0

$$3 w - \frac { 1 } { 2 } ( 2 w + 8 ) > 0$$

Solve for w

$$w>2$$

Solution Steps

Use the distributive property to multiply -\frac{1}{2} by 2w+8.

$$3w-\frac{1}{2}\times 2w-\frac{1}{2}\times 8>0$$

Cancel out 2 and 2.

$$3w-w-\frac{1}{2}\times 8>0$$

Express -\frac{1}{2}\times 8 as a single fraction.

$$3w-w+\frac{-8}{2}>0$$

Divide -8 by 2 to get -4.

$$3w-w-4>0$$

Combine 3w and -w to get 2w.

$$2w-4>0$$

Add 4 to both sides. Anything plus zero gives itself.

$$2w>4$$

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

$$w>\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$w>2$$