Solve -1.3u+18.4<99.76-0.1u

$$- 1.3 u + 18.4 < 99.76 - 0.1 u$$

Solve for u

$$u>-67.8$$

Solution Steps

Add 0.1u to both sides.

$$-1.3u+18.4+0.1u<99.76$$

Combine -1.3u and 0.1u to get -1.2u.

$$-1.2u+18.4<99.76$$

Subtract 18.4 from both sides.

$$-1.2u<99.76-18.4$$

Subtract 18.4 from 99.76 to get 81.36.

$$-1.2u<81.36$$

Divide both sides by -1.2. Since -1.2 is negative, the inequality direction is changed.

$$u>\frac{81.36}{-1.2}$$

Expand \frac{81.36}{-1.2} by multiplying both numerator and the denominator by 100.

$$u>\frac{8136}{-120}$$

Reduce the fraction \frac{8136}{-120} to lowest terms by extracting and canceling out 24.

$$u>-\frac{339}{5}$$