Solve x+1/6leq-2/5

$$x + \frac { 1 } { 6 } \leq - \frac { 2 } { 5 }$$

Solve for x

$$x\leq -\frac{17}{30}$$

Solution Steps

Subtract \frac{1}{6} from both sides.

$$x\leq -\frac{2}{5}-\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert -\frac{2}{5} and \frac{1}{6} to fractions with denominator 30.

$$x\leq -\frac{12}{30}-\frac{5}{30}$$

Since -\frac{12}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$x\leq \frac{-12-5}{30}$$

Subtract 5 from -12 to get -17.

$$x\leq -\frac{17}{30}$$