What is -6<= (4x+3)/5 <-2 ?

The solution to -6<= (4x+3)/5 <-2 is -33/4 <= x<-13/4

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-6<= (4x+3)/5 <-2

- 6 \leq \frac{4 x + 3}{5} < - 2

- \frac{33}{4} \leq x < - \frac{13}{4}

Solution steps

- 6 \leq \frac{4 x + 3}{5} < - 2

a \leq u < b

then

a \leq u and u < b

- 6 \leq \frac{4 x + 3}{5} and \frac{4 x + 3}{5} < - 2

- 6 \leq \frac{4 x + 3}{5} : x \geq - \frac{33}{4}

\frac{4 x + 3}{5} < - 2 : x < - \frac{13}{4}

Combine the intervals

x \geq - \frac{33}{4} and x < - \frac{13}{4}

Merge Overlapping Intervals

- \frac{33}{4} \leq x < - \frac{13}{4}

\frac{2}{3} (9 b - 27) = 36

x^{2} + 79 = 14 x + 14

(x^{2} + 5 x)^{2} - 20 (x^{2} + 5 x) + 84

s^{2} - 2 s - 3

\frac{4}{x - 6} > \frac{2}{x + 4}

What is -6<= (4x+3)/5 <-2 ?
The solution to -6<= (4x+3)/5 <-2 is -33/4 <= x<-13/4