Solve 8t+8<5t-13

$$8 t + 8 < 5 t - 13$$

Solve for t

$$t<-7$$

Solution Steps

Subtract 5t from both sides.

$$8t+8-5t<-13$$

Combine 8t and -5t to get 3t.

$$3t+8<-13$$

Subtract 8 from both sides.

$$3t<-13-8$$

Subtract 8 from -13 to get -21.

$$3t<-21$$

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

$$t<\frac{-21}{3}$$

Divide -21 by 3 to get -7.

$$t<-7$$