Solve -9+4(8p+3)-24p<4p-9

$$- 9 + 4 ( 8 p + 3 ) - 24 p < 4 p - 9$$

Solve for p

$$p<-3$$

Solution Steps

Use the distributive property to multiply 4 by 8p+3.

$$-9+32p+12-24p<4p-9$$

Add -9 and 12 to get 3.

$$3+32p-24p<4p-9$$

Combine 32p and -24p to get 8p.

$$3+8p<4p-9$$

Subtract 4p from both sides.

$$3+8p-4p<-9$$

Combine 8p and -4p to get 4p.

$$3+4p<-9$$

Subtract 3 from both sides.

$$4p<-9-3$$

Subtract 3 from -9 to get -12.

$$4p<-12$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$p<\frac{-12}{4}$$

Divide -12 by 4 to get -3.

$$p<-3$$