What is -6<= (6-4x)/5 <= 12 ?

The solution to -6<= (6-4x)/5 <= 12 is -27/2 <= x<= 9

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-6<= (6-4x)/5 <= 12

- 6 \leq \frac{6 - 4 x}{5} \leq 12

- \frac{27}{2} \leq x \leq 9

Interval Notation

[- \frac{27}{2}, 9]

Decimal Notation

- 13.5 \leq x \leq 9

Solution steps

- 6 \leq \frac{6 - 4 x}{5} \leq 12

a \leq u \leq b

then

a \leq u and u \leq b

- 6 \leq \frac{6 - 4 x}{5} and \frac{6 - 4 x}{5} \leq 12

- 6 \leq \frac{6 - 4 x}{5} : x \leq 9

\frac{6 - 4 x}{5} \leq 12 : x \geq - \frac{27}{2}

Combine the intervals

x \leq 9 and x \geq - \frac{27}{2}

Merge Overlapping Intervals

- \frac{27}{2} \leq x \leq 9

y^{2} + 6 y - 55

- 27 + 4 x = - 5 x + 9

6 y - 18 < - 12 + 4 y

\frac{4}{5} - \frac{5}{12}

\frac{x + 8}{9} = \frac{x - 2}{8}

What is -6<= (6-4x)/5 <= 12 ?
The solution to -6<= (6-4x)/5 <= 12 is -27/2 <= x<= 9