What is 1/6 <= (2x-13)/(12)< 2/3 ?

The solution to 1/6 <= (2x-13)/(12)< 2/3 is 15/2 <= x< 21/2

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1/6 <= (2x-13)/(12)< 2/3

\frac{1}{6} \leq \frac{2 x - 13}{12} < \frac{2}{3}

\frac{15}{2} \leq x < \frac{21}{2}

Interval Notation

[\frac{15}{2}, \frac{21}{2})

Decimal Notation

7.5 \leq x < 10.5

Solution steps

\frac{1}{6} \leq \frac{2 x - 13}{12} < \frac{2}{3}

a \leq u < b

then

a \leq u and u < b

\frac{1}{6} \leq \frac{2 x - 13}{12} and \frac{2 x - 13}{12} < \frac{2}{3}

\frac{1}{6} \leq \frac{2 x - 13}{12} : x \geq \frac{15}{2}

\frac{2 x - 13}{12} < \frac{2}{3} : x < \frac{21}{2}

Combine the intervals

x \geq \frac{15}{2} and x < \frac{21}{2}

Merge Overlapping Intervals

\frac{15}{2} \leq x < \frac{21}{2}

x^{2} + 11 x + 10 \geq 0

6 x + 4 = 5 x

- 9 + 4

- \frac{280}{2 ( - 2 )}

432

What is 1/6 <= (2x-13)/(12)< 2/3 ?
The solution to 1/6 <= (2x-13)/(12)< 2/3 is 15/2 <= x< 21/2