What is -9<= (1-2x)/9 <20 ?

The solution to -9<= (1-2x)/9 <20 is -179/2 <x<= 41

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-9<= (1-2x)/9 <20

- 9 \leq \frac{1 - 2 x}{9} < 20

- \frac{179}{2} < x \leq 41

Interval Notation

(- \frac{179}{2}, 41]

Decimal Notation

- 89.5 < x \leq 41

Solution steps

- 9 \leq \frac{1 - 2 x}{9} < 20

a \leq u < b

then

a \leq u and u < b

- 9 \leq \frac{1 - 2 x}{9} and \frac{1 - 2 x}{9} < 20

- 9 \leq \frac{1 - 2 x}{9} : x \leq 41

\frac{1 - 2 x}{9} < 20 : x > - \frac{179}{2}

Combine the intervals

x \leq 41 and x > - \frac{179}{2}

Merge Overlapping Intervals

- \frac{179}{2} < x \leq 41

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