What is -5<= (2-3x)/6 <= 2 ?

The solution to -5<= (2-3x)/6 <= 2 is -10/3 <= x<= 32/3

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-5<= (2-3x)/6 <= 2

- 5 \leq \frac{2 - 3 x}{6} \leq 2

- \frac{10}{3} \leq x \leq \frac{32}{3}

Interval Notation

[- \frac{10}{3}, \frac{32}{3}]

Decimal Notation

- 3.33333 \dots \leq x \leq 10.66666 \dots

Solution steps

- 5 \leq \frac{2 - 3 x}{6} \leq 2

a \leq u \leq b

then

a \leq u and u \leq b

- 5 \leq \frac{2 - 3 x}{6} and \frac{2 - 3 x}{6} \leq 2

- 5 \leq \frac{2 - 3 x}{6} : x \leq \frac{32}{3}

\frac{2 - 3 x}{6} \leq 2 : x \geq - \frac{10}{3}

Combine the intervals

x \leq \frac{32}{3} and x \geq - \frac{10}{3}

Merge Overlapping Intervals

- \frac{10}{3} \leq x \leq \frac{32}{3}

216 pq - p^{7} q

\frac{3}{9} = \frac{w}{6}

3 x^{4} + 6 x^{3} + 9 x^{2}

5 lo g_{2} (2)

40 x^{3} - 25 x^{2} + 64 x - 40

What is -5<= (2-3x)/6 <= 2 ?
The solution to -5<= (2-3x)/6 <= 2 is -10/3 <= x<= 32/3