What is 1/6 > x/(15)>(-2)/5 ?

The solution to 1/6 > x/(15)>(-2)/5 is -6<x< 5/2

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1/6 > x/(15)>(-2)/5

\frac{1}{6} > \frac{x}{15} > \frac{- 2}{5}

- 6 < x < \frac{5}{2}

Interval Notation

(- 6, \frac{5}{2})

Decimal Notation

- 6 < x < 2.5

Solution steps

\frac{1}{6} > \frac{x}{15} > \frac{- 2}{5}

a > u > b

then

a > u and u > b

\frac{1}{6} > \frac{x}{15} and \frac{x}{15} > \frac{- 2}{5}

\frac{1}{6} > \frac{x}{15} : x < \frac{5}{2}

\frac{x}{15} > \frac{- 2}{5} : x > - 6

Combine the intervals

x < \frac{5}{2} and x > - 6

Merge Overlapping Intervals

- 6 < x < \frac{5}{2}

- 4 < x < \frac{36}{7}

1 < 5 - 3 x < 2

1 \leq ∣ x - 1 ∣ \leq 3

1.8 < x < 9.13

- 1 < x^{3} < 0