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} \leq \frac{2}{3}

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

Interval Notation

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

Decimal Notation

7.5 \leq x \leq 10.5

Solution steps

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

a \leq u \leq b

then

a \leq u and u \leq b

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

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

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

Combine the intervals

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

Merge Overlapping Intervals

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

5 x^{2} - 13 x - 6

∣ 5 x + 4 \geq 8 x - 1

y^{2} - \frac{2}{3} y + \frac{1}{9} = 0

x^{2} - 1 x - 42

x + 1.8 = 3.4

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