What is 1/5 <= (1-5t)/9 < 5/9 ?

The solution to 1/5 <= (1-5t)/9 < 5/9 is -4/5 <t<=-4/25

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1/5 <= (1-5t)/9 < 5/9

\frac{1}{5} \leq \frac{1 - 5 t}{9} < \frac{5}{9}

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

Interval Notation

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

Decimal Notation

- 0.8 < t \leq - 0.16

Solution steps

\frac{1}{5} \leq \frac{1 - 5 t}{9} < \frac{5}{9}

a \leq u < b

then

a \leq u and u < b

\frac{1}{5} \leq \frac{1 - 5 t}{9} and \frac{1 - 5 t}{9} < \frac{5}{9}

\frac{1}{5} \leq \frac{1 - 5 t}{9} : t \leq - \frac{4}{25}

\frac{1 - 5 t}{9} < \frac{5}{9} : t > - \frac{4}{5}

Combine the intervals

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

Merge Overlapping Intervals

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

\frac{2 - 7 x}{4} \geq \frac{2}{3}

4 x^{2} + x - 3 = 0

x y - 7 x + 3 y - 21

16 y^{2} + 0 y + 10 = 0

x (x - 1) - 2 x = - 6 x

What is 1/5 <= (1-5t)/9 < 5/9 ?
The solution to 1/5 <= (1-5t)/9 < 5/9 is -4/5 <t<=-4/25