What is 1/6 <(2x-15)/(12)<= 2/3 ?

The solution to 1/6 <(2x-15)/(12)<= 2/3 is 17/2 <x<= 23/2

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1/6 <(2x-15)/(12)<= 2/3

\frac{1}{6} < \frac{2 x - 15}{12} \leq \frac{2}{3}

\frac{17}{2} < x \leq \frac{23}{2}

Interval Notation

(\frac{17}{2}, \frac{23}{2}]

Decimal Notation

8.5 < x \leq 11.5

Solution steps

\frac{1}{6} < \frac{2 x - 15}{12} \leq \frac{2}{3}

a < u \leq b

then

a < u and u \leq b

\frac{1}{6} < \frac{2 x - 15}{12} and \frac{2 x - 15}{12} \leq \frac{2}{3}

\frac{1}{6} < \frac{2 x - 15}{12} : x > \frac{17}{2}

\frac{2 x - 15}{12} \leq \frac{2}{3} : x \leq \frac{23}{2}

Combine the intervals

x > \frac{17}{2} and x \leq \frac{23}{2}

Merge Overlapping Intervals

\frac{17}{2} < x \leq \frac{23}{2}

4 + \frac{1}{2}

(x - 1)^{2} = 5

9 = π r^{2} 16

a = 2 4^{2} + 2 0^{2}

\frac{2 ^{2}}{2 ^{- 2}}

What is 1/6 <(2x-15)/(12)<= 2/3 ?
The solution to 1/6 <(2x-15)/(12)<= 2/3 is 17/2 <x<= 23/2