Solve 38.80+0.04mleq35+0.06m

$$38.80 + 0.04 m \leq 35 + 0.06 m$$

Solve for m

$$m\geq 190$$

Solution Steps

Subtract 0.06m from both sides.

$$38.8+0.04m-0.06m\leq 35$$

Combine 0.04m and -0.06m to get -0.02m.

$$38.8-0.02m\leq 35$$

Subtract 38.8 from both sides.

$$-0.02m\leq 35-38.8$$

Subtract 38.8 from 35 to get -3.8.

$$-0.02m\leq -3.8$$

Divide both sides by -0.02. Since -0.02 is negative, the inequality direction is changed.

$$m\geq \frac{-3.8}{-0.02}$$

Expand \frac{-3.8}{-0.02} by multiplying both numerator and the denominator by 100.

$$m\geq \frac{-380}{-2}$$

Divide -380 by -2 to get 190.

$$m\geq 190$$