What is -9<= (2x+3)/(-4)<= 7 ?

The solution to -9<= (2x+3)/(-4)<= 7 is -31/2 <= x<= 33/2

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-9<= (2x+3)/(-4)<= 7

- 9 \leq \frac{2 x + 3}{- 4} \leq 7

- \frac{31}{2} \leq x \leq \frac{33}{2}

Solution steps

- 9 \leq \frac{2 x + 3}{- 4} \leq 7

a \leq u \leq b

then

a \leq u and u \leq b

- 9 \leq \frac{2 x + 3}{- 4} and \frac{2 x + 3}{- 4} \leq 7

- 9 \leq \frac{2 x + 3}{- 4} : x \leq \frac{33}{2}

\frac{2 x + 3}{- 4} \leq 7 : x \geq - \frac{31}{2}

Combine the intervals

x \leq \frac{33}{2} and x \geq - \frac{31}{2}

Merge Overlapping Intervals

- \frac{31}{2} \leq x \leq \frac{33}{2}

4 (\frac{3}{4} + \frac{1}{5} - \frac{3}{6} + \frac{2}{4}) - \frac{3}{4} (\frac{5}{3}) + 2

16 x = \frac{1}{16} x

\frac{5}{8} (x - \frac{1}{3}) = \frac{5}{12}

x^{2} \leq 2

10 - c = 11 + c

What is -9<= (2x+3)/(-4)<= 7 ?
The solution to -9<= (2x+3)/(-4)<= 7 is -31/2 <= x<= 33/2