What is 3/6 < x/9 < 5/6 ?

The solution to 3/6 < x/9 < 5/6 is 9/2 <x< 15/2

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3/6 < x/9 < 5/6

\frac{3}{6} < \frac{x}{9} < \frac{5}{6}

\frac{9}{2} < x < \frac{15}{2}

Interval Notation

(\frac{9}{2}, \frac{15}{2})

Decimal Notation

4.5 < x < 7.5

Solution steps

\frac{3}{6} < \frac{x}{9} < \frac{5}{6}

a < u < b

then

a < u and u < b

\frac{3}{6} < \frac{x}{9} and \frac{x}{9} < \frac{5}{6}

\frac{3}{6} < \frac{x}{9} : x > \frac{9}{2}

\frac{x}{9} < \frac{5}{6} : x < \frac{15}{2}

Combine the intervals

x > \frac{9}{2} and x < \frac{15}{2}

Merge Overlapping Intervals

\frac{9}{2} < x < \frac{15}{2}

- 8 x + 32 = 4 (- 2 - 4 x)

100 = 112 + 96 t - 16 t^{2}

- 2 p = - 4

2 x^{2} + 3 x - 9 \leq 0