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}

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}

3 x < 9

18 - 22 + 32

7 k + 3 - 5 k = 7

2 x (x - 2) = 5 x^{2} - 6 x

3 x + 1 < - 8

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