Solve 5-2 x 3 x 6 -5. - Vidyadip

Question

Solve $\frac{5-2 x}{3} \leq \frac{x}{6}-5$.

✓

Answer

We have
$\frac{5-2 x}{3} \leq \frac{x}{6}-5$
$\Rightarrow$ 2 (5 – 2x) $\leq$ x – 30
$\Rightarrow$ 10 – 4x $\leq$ x – 30
$\Rightarrow$ – 5x $\leq$ – 40,
$\Rightarrow$ x $\ge$ 8
i.e., x $\in$ [8, $\infty$).
Hence, Solution set = [8, $\infty$).

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