What is 1/6 <= (1-6t)/7 < 6/7 ?

The solution to 1/6 <= (1-6t)/7 < 6/7 is -5/6 <t<=-1/36

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1/6 <= (1-6t)/7 < 6/7

\frac{1}{6} \leq \frac{1 - 6 t}{7} < \frac{6}{7}

- \frac{5}{6} < t \leq - \frac{1}{36}

Interval Notation

(- \frac{5}{6}, - \frac{1}{36}]

Decimal Notation

- 0.83333 \dots < t \leq - 0.02777 \dots

Solution steps

\frac{1}{6} \leq \frac{1 - 6 t}{7} < \frac{6}{7}

a \leq u < b

then

a \leq u and u < b

\frac{1}{6} \leq \frac{1 - 6 t}{7} and \frac{1 - 6 t}{7} < \frac{6}{7}

\frac{1}{6} \leq \frac{1 - 6 t}{7} : t \leq - \frac{1}{36}

\frac{1 - 6 t}{7} < \frac{6}{7} : t > - \frac{5}{6}

Combine the intervals

t \leq - \frac{1}{36} and t > - \frac{5}{6}

Merge Overlapping Intervals

- \frac{5}{6} < t \leq - \frac{1}{36}

2 x^{2} + 3 x^{3} + 4 x^{4}

3 - (4 x + 1) < 88 - 2 (x + 7)

- 23 x > 23

\frac{7}{2}

\frac{7}{3} \cdot 6

What is 1/6 <= (1-6t)/7 < 6/7 ?
The solution to 1/6 <= (1-6t)/7 < 6/7 is -5/6 <t<=-1/36