Solve 0<-(p-8)

$$0 < - ( p - 8 )$$

Solve for p

$$p<8$$

Solution Steps

To find the opposite of p-8, find the opposite of each term.

$$0<-p-\left(-8\right)$$

The opposite of -8 is 8.

$$0<-p+8$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-p+8>0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-p>-8$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$p<\frac{-8}{-1}$$

Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.

$$p<8$$