Solve 4.3-1.5cleq10

$$4.3 - 1.5 c \leq 10$$

Solve for c

$$c\geq -3.8$$

Solution Steps

Subtract 4.3 from both sides.

$$-1.5c\leq 10-4.3$$

Subtract 4.3 from 10 to get 5.7.

$$-1.5c\leq 5.7$$

Divide both sides by -1.5. Since -1.5 is negative, the inequality direction is changed.

$$c\geq \frac{5.7}{-1.5}$$

Expand \frac{5.7}{-1.5} by multiplying both numerator and the denominator by 10.

$$c\geq \frac{57}{-15}$$

Reduce the fraction \frac{57}{-15} to lowest terms by extracting and canceling out 3.

$$c\geq -\frac{19}{5}$$