What is -9<= 13/4 x-1<=-1 ?

The solution to -9<= 13/4 x-1<=-1 is -32/13 <= x<= 0

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-9<= 13/4 x-1<=-1

- 9 \leq \frac{13}{4} x - 1 \leq - 1

- \frac{32}{13} \leq x \leq 0

Interval Notation

[- \frac{32}{13}, 0]

Decimal Notation

- 2.46153 \dots \leq x \leq 0

Solution steps

- 9 \leq \frac{13}{4} x - 1 \leq - 1

a \leq u \leq b

then

a \leq u and u \leq b

- 9 \leq \frac{13}{4} x - 1 and \frac{13}{4} x - 1 \leq - 1

- 9 \leq \frac{13}{4} x - 1 : x \geq - \frac{32}{13}

\frac{13}{4} x - 1 \leq - 1 : x \leq 0

Combine the intervals

x \geq - \frac{32}{13} and x \leq 0

Merge Overlapping Intervals

- \frac{32}{13} \leq x \leq 0

- \frac{3}{5} + 1

x^{2} + x + 4 \geq 0

4 x^{2} + x - 14 = 0

(7 + i) (7 - i)

What is -9<= 13/4 x-1<=-1 ?
The solution to -9<= 13/4 x-1<=-1 is -32/13 <= x<= 0