Find the number of whole numbers in the solution set of following:
$\frac{x}{2} > - 1 + \frac{3 x}{4}; x \in Z$ .

x > 1

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x > 2

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x > 3

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x > 4

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Solution

The correct option is D $x > 4$
$\frac{x}{2} > - 1 + \frac{3 x}{4}$
$\frac{x}{2} - \frac{3 x}{4} > - 1$
$- \frac{x}{4} > - 1$
$- x > - 4$
Hence, $x > 4$

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