Solve 20-2p>-2(p+2)+4p

$$20 - 2 p > - 2 ( p + 2 ) + 4 p$$

Solve for p

$$p<6$$

Solution Steps

Use the distributive property to multiply -2 by p+2.

$$20-2p>-2p-4+4p$$

Combine -2p and 4p to get 2p.

$$20-2p>2p-4$$

Subtract 2p from both sides.

$$20-2p-2p>-4$$

Combine -2p and -2p to get -4p.

$$20-4p>-4$$

Subtract 20 from both sides.

$$-4p>-4-20$$

Subtract 20 from -4 to get -24.

$$-4p>-24$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$p<\frac{-24}{-4}$$

Divide -24 by -4 to get 6.

$$p<6$$