Solve - 5 5-3 x 2 8. - Vidyadip

Question

Solve - 5 $\leq \frac{5-3 x}{2} \leq$ 8.

✓

Answer

We have - 5 $\leq \frac{5-3 x}{2} \leq 8$
$\Rightarrow$ –10 $\le$ 5 – 3x $\le$ 16
$\Rightarrow$ –10 - 5 $\le$ 5 – 3x - 5 $\le$ 16 -5
$\Rightarrow$ – 15 $\le$ – 3x $\le$ 11
$\Rightarrow$ 5 $\ge$ x $\ge$ - $\frac{11}{3}$
which can be written as $\frac{-11}{3} \leq x \leq$ 5
$\Rightarrow$ x $\in$ [ - $\frac{11}{3}$, 5]

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