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Forming Equation from Solution

5 × 2+3 × 4 ≥...

Question

$\frac{5 x}{2} + \frac{3 x}{4} \geq \frac{39}{4}$

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Solution

$\frac{5 x}{2} + \frac{3 x}{4} \geq \frac{39}{4} \Rightarrow \frac{10 x + 3 x}{4} \geq \frac{39}{4} \Rightarrow 10 x + 3 x \geq 39 \Rightarrow 13 x \geq 39 \Rightarrow x \geq \frac{39}{13} (Dividing both the sides by 13) \Rightarrow x \geq 3 Hence, the solution set of the given inequation is [3, \infty) .$

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