Solve 7t+3<4t-12

$$7 t + 3 < 4 t - 12$$

Solve for t

$$t<-5$$

Solution Steps

Subtract 4t from both sides.

$$7t+3-4t<-12$$

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

$$3t+3<-12$$

Subtract 3 from both sides.

$$3t<-12-3$$

Subtract 3 from -12 to get -15.

$$3t<-15$$

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

$$t<\frac{-15}{3}$$

Divide -15 by 3 to get -5.

$$t<-5$$