Solve -4t+1.2<-2

$$- 4 t + 1.2 < - 2$$

Solve for t

$$t>\frac{4}{5}$$

Solution Steps

Subtract 1.2 from both sides.

$$-4t<-2-1.2$$

Subtract 1.2 from -2 to get -3.2.

$$-4t<-3.2$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$t>\frac{-3.2}{-4}$$

Expand \frac{-3.2}{-4} by multiplying both numerator and the denominator by 10.

$$t>\frac{-32}{-40}$$

Reduce the fraction \frac{-32}{-40} to lowest terms by extracting and canceling out -8.

$$t>\frac{4}{5}$$