What is 1/6 <(2x-11)/(12)<= 2/3 ?

The solution to 1/6 <(2x-11)/(12)<= 2/3 is 13/2 <x<= 19/2

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1/6 <(2x-11)/(12)<= 2/3

\frac{1}{6} < \frac{2 x - 11}{12} \leq \frac{2}{3}

\frac{13}{2} < x \leq \frac{19}{2}

Interval Notation

(\frac{13}{2}, \frac{19}{2}]

Decimal Notation

6.5 < x \leq 9.5

Solution steps

\frac{1}{6} < \frac{2 x - 11}{12} \leq \frac{2}{3}

a < u \leq b

then

a < u and u \leq b

\frac{1}{6} < \frac{2 x - 11}{12} and \frac{2 x - 11}{12} \leq \frac{2}{3}

\frac{1}{6} < \frac{2 x - 11}{12} : x > \frac{13}{2}

\frac{2 x - 11}{12} \leq \frac{2}{3} : x \leq \frac{19}{2}

Combine the intervals

x > \frac{13}{2} and x \leq \frac{19}{2}

Merge Overlapping Intervals

\frac{13}{2} < x \leq \frac{19}{2}

- \frac{7}{3} + \frac{4}{5} g > - \frac{11}{3}

\frac{1}{4} (2 x - 1) - x < \frac{x}{6} - \frac{1}{3}

\frac{x}{2} + 1 = 5

- 4 (x - 11) = 16

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What is 1/6 <(2x-11)/(12)<= 2/3 ?
The solution to 1/6 <(2x-11)/(12)<= 2/3 is 13/2 <x<= 19/2