Solve -2/5+4cleq-3/5

$$- \frac { 2 } { 5 } + 4 c \leq - \frac { 3 } { 5 }$$

Solve for c

$$c\leq -\frac{1}{20}$$

Solution Steps

Add \frac{2}{5} to both sides.

$$4c\leq -\frac{3}{5}+\frac{2}{5}$$

Since -\frac{3}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$4c\leq \frac{-3+2}{5}$$

Add -3 and 2 to get -1.

$$4c\leq -\frac{1}{5}$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$c\leq \frac{-\frac{1}{5}}{4}$$

Express \frac{-\frac{1}{5}}{4} as a single fraction.

$$c\leq \frac{-1}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$c\leq \frac{-1}{20}$$

Fraction \frac{-1}{20} can be rewritten as -\frac{1}{20} by extracting the negative sign.

$$c\leq -\frac{1}{20}$$