Solve -9+4(7p+3)-21p<4p-6

$$- 9 + 4 ( 7 p + 3 ) - 21 p < 4 p - 6$$

Solve for p

$$p<-3$$

Solution Steps

Use the distributive property to multiply 4 by 7p+3.

$$-9+28p+12-21p<4p-6$$

Add -9 and 12 to get 3.

$$3+28p-21p<4p-6$$

Combine 28p and -21p to get 7p.

$$3+7p<4p-6$$

Subtract 4p from both sides.

$$3+7p-4p<-6$$

Combine 7p and -4p to get 3p.

$$3+3p<-6$$

Subtract 3 from both sides.

$$3p<-6-3$$

Subtract 3 from -6 to get -9.

$$3p<-9$$

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

$$p<\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$p<-3$$