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Fraction as an Operator 'Of'

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Question

The solution of $\frac{5 x}{2} + \frac{3 x}{4} \geq \frac{39}{4}$ is

A

x \geq 4

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B

x \geq 2

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C

x \geq 3

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D

x \geq 0

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Solution

The correct option is D $x \geq 3$
$\frac{5 x}{2} + \frac{3 x}{4} \geq \frac{39}{4}$
Multiply by $4$
$\Rightarrow$ $10 x + 3 x \geq 39$
$\Rightarrow$ $13 x \geq 39$
$x \geq 3$
$∴$ (3) $x \geq 3$ is correct

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