Solve -1+2(9p+1)-9p<5p-19

$$- 1 + 2 ( 9 p + 1 ) - 9 p < 5 p - 19$$

Solve for p

$$p<-5$$

Solution Steps

Use the distributive property to multiply 2 by 9p+1.

$$-1+18p+2-9p<5p-19$$

Add -1 and 2 to get 1.

$$1+18p-9p<5p-19$$

Combine 18p and -9p to get 9p.

$$1+9p<5p-19$$

Subtract 5p from both sides.

$$1+9p-5p<-19$$

Combine 9p and -5p to get 4p.

$$1+4p<-19$$

Subtract 1 from both sides.

$$4p<-19-1$$

Subtract 1 from -19 to get -20.

$$4p<-20$$

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

$$p<\frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$p<-5$$