What is -9<= (1-4x)/9 <12 ?

The solution to -9<= (1-4x)/9 <12 is -107/4 <x<= 41/2

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-9<= (1-4x)/9 <12

- 9 \leq \frac{1 - 4 x}{9} < 12

- \frac{107}{4} < x \leq \frac{41}{2}

Interval Notation

(- \frac{107}{4}, \frac{41}{2}]

Decimal Notation

- 26.75 < x \leq 20.5

Solution steps

- 9 \leq \frac{1 - 4 x}{9} < 12

a \leq u < b

then

a \leq u and u < b

- 9 \leq \frac{1 - 4 x}{9} and \frac{1 - 4 x}{9} < 12

- 9 \leq \frac{1 - 4 x}{9} : x \leq \frac{41}{2}

\frac{1 - 4 x}{9} < 12 : x > - \frac{107}{4}

Combine the intervals

x \leq \frac{41}{2} and x > - \frac{107}{4}

Merge Overlapping Intervals

- \frac{107}{4} < x \leq \frac{41}{2}

2^{x} > 1

ln (25)

4 z^{2} + z + 3 = 0

169 x^{2} - 130 x + 25

- 72 x^{2} + 4050 x = 250 x + 5300

What is -9<= (1-4x)/9 <12 ?
The solution to -9<= (1-4x)/9 <12 is -107/4 <x<= 41/2