Solve x+1/5leq-3/4

$$x + \frac { 1 } { 5 } \leq - \frac { 3 } { 4 }$$

Solve for x

$$x\leq -\frac{19}{20}$$

Solution Steps

Subtract \frac{1}{5} from both sides.

$$x\leq -\frac{3}{4}-\frac{1}{5}$$

Least common multiple of 4 and 5 is 20. Convert -\frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$x\leq -\frac{15}{20}-\frac{4}{20}$$

Since -\frac{15}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$x\leq \frac{-15-4}{20}$$

Subtract 4 from -15 to get -19.

$$x\leq -\frac{19}{20}$$