Question

please help with b part​

Answer 1

Answer:

$\boxed{{-2}{} < x \leq \frac{15}{4}} \ is \ the \ inequation$

Step-by-step explanation:

$-3 < \frac{-1}{2}-\frac{2x}{3} \leq \frac{5}{6} \\\\Adding \ all\ with \ \frac{1}{2} \\\\\implies -3 + \frac{1}{2} < \frac{-2x}{3} \leq \frac{5}{6} + \frac{1}2} \\\\\implies \frac{-5}{2} < \frac{-2x}{3} \leq \frac{4}{3} \\\\\implies \frac{-4}{3} < \frac{2x}{3} \leq \frac{5}{2}$

Multiply the whole inequation with 3

$\implies -4 < 2x \leq \frac{15}{2}$

Divide the whole inequation with 2

$\implies -2 < x \leq \frac{15}{4}$

Hope it helps

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