What is 1/5 <= (1-5t)/8 < 5/8 ?

The solution to 1/5 <= (1-5t)/8 < 5/8 is -4/5 <t<=-3/25

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1/5 <= (1-5t)/8 < 5/8

\frac{1}{5} \leq \frac{1 - 5 t}{8} < \frac{5}{8}

- \frac{4}{5} < t \leq - \frac{3}{25}

Interval Notation

(- \frac{4}{5}, - \frac{3}{25}]

Decimal Notation

- 0.8 < t \leq - 0.12

Solution steps

\frac{1}{5} \leq \frac{1 - 5 t}{8} < \frac{5}{8}

a \leq u < b

then

a \leq u and u < b

\frac{1}{5} \leq \frac{1 - 5 t}{8} and \frac{1 - 5 t}{8} < \frac{5}{8}

\frac{1}{5} \leq \frac{1 - 5 t}{8} : t \leq - \frac{3}{25}

\frac{1 - 5 t}{8} < \frac{5}{8} : t > - \frac{4}{5}

Combine the intervals

t \leq - \frac{3}{25} and t > - \frac{4}{5}

Merge Overlapping Intervals

- \frac{4}{5} < t \leq - \frac{3}{25}

\frac{1}{i ^{45}}

2 \cdot 64

- x^{2} + 2 x + 4 = 0

\frac{1}{3} - 4

(2 - 3 i)^{2}

What is 1/5 <= (1-5t)/8 < 5/8 ?
The solution to 1/5 <= (1-5t)/8 < 5/8 is -4/5 <t<=-3/25