Solve 0.2-0.4b+0.35bleq22

$$0.2 - 0.4 b + 0.35 b \leq 22$$

Solve for b

$$b\geq -436$$

Solution Steps

Combine -0.4b and 0.35b to get -0.05b.

$$0.2-0.05b\leq 22$$

Subtract 0.2 from both sides.

$$-0.05b\leq 22-0.2$$

Subtract 0.2 from 22 to get 21.8.

$$-0.05b\leq 21.8$$

Divide both sides by -0.05. Since -0.05 is negative, the inequality direction is changed.

$$b\geq \frac{21.8}{-0.05}$$

Expand \frac{21.8}{-0.05} by multiplying both numerator and the denominator by 100.

$$b\geq \frac{2180}{-5}$$

Divide 2180 by -5 to get -436.

$$b\geq -436$$