What is -9<= 3x-8<=-1 ?

The solution to -9<= 3x-8<=-1 is -1/3 <= x<= 7/3

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-9<= 3x-8<=-1

- 9 \leq 3 x - 8 \leq - 1

- \frac{1}{3} \leq x \leq \frac{7}{3}

Interval Notation

[- \frac{1}{3}, \frac{7}{3}]

Decimal Notation

- 0.33333 \dots \leq x \leq 2.33333 \dots

Solution steps

- 9 \leq 3 x - 8 \leq - 1

a \leq u \leq b

then

a \leq u and u \leq b

- 9 \leq 3 x - 8 and 3 x - 8 \leq - 1

- 9 \leq 3 x - 8 : x \geq - \frac{1}{3}

3 x - 8 \leq - 1 : x \leq \frac{7}{3}

Combine the intervals

x \geq - \frac{1}{3} and x \leq \frac{7}{3}

Merge Overlapping Intervals

- \frac{1}{3} \leq x \leq \frac{7}{3}

∣ 17 x ∣ > - 17

\frac{z}{- 8} < 2

(\frac{3}{10})^{- 1}

(x - 7)^{2} = - 6

1 + \frac{1}{2}