Solve 4.5+1.3t>3.8t-3

$$4.5 + 1.3 t > 3.8 t - 3$$

Solve for t

$$t<3$$

Solution Steps

Subtract 3.8t from both sides.

$$4.5+1.3t-3.8t>-3$$

Combine 1.3t and -3.8t to get -2.5t.

$$4.5-2.5t>-3$$

Subtract 4.5 from both sides.

$$-2.5t>-3-4.5$$

Subtract 4.5 from -3 to get -7.5.

$$-2.5t>-7.5$$

Divide both sides by -2.5. Since -2.5 is negative, the inequality direction is changed.

$$t<\frac{-7.5}{-2.5}$$

Expand \frac{-7.5}{-2.5} by multiplying both numerator and the denominator by 10.

$$t<\frac{-75}{-25}$$

Divide -75 by -25 to get 3.

$$t<3$$