Solve 20+0.07mleq24.20+0.04m

$$20 + 0.07 m \leq 24.20 + 0.04 m$$

Solve for m

$$m\leq 140$$

Solution Steps

Subtract 0.04m from both sides.

$$20+0.07m-0.04m\leq 24.2$$

Combine 0.07m and -0.04m to get 0.03m.

$$20+0.03m\leq 24.2$$

Subtract 20 from both sides.

$$0.03m\leq 24.2-20$$

Subtract 20 from 24.2 to get 4.2.

$$0.03m\leq 4.2$$

Divide both sides by 0.03. Since 0.03 is positive, the inequality direction remains the same.

$$m\leq \frac{4.2}{0.03}$$

Expand \frac{4.2}{0.03} by multiplying both numerator and the denominator by 100.

$$m\leq \frac{420}{3}$$

Divide 420 by 3 to get 140.

$$m\leq 140$$