5. Solve the inequality $\frac{3-x}{2 x+1}<-\frac{3}{4}$.

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# Solution:

$\frac{3-x}{2 x+1}<-\frac{3}{4}, \frac{3-x}{2 x+1}+\frac{3}{4}<0, \frac{12-4 x+6 x+3}{4(2 x+1)}<0, \frac{2 x+15}{4(2 x+1)}<0$.

Answer: $\left(-\frac{15}{2} ;-\frac{1}{2}\right)$

![](https://cdn.mathpix.com/cropped/2024_05_06_8eeeb8d6ace591217257g-22.jpg?height=204&width=581&top_left_y=1900&top_left_x=1437)