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Higher Order Derivatives

If x ∈ I, s...

Question

If $x \in I$ , such that $x^{2} - 3 x < 4$ , then the number of possible values of $x$ , is

3

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4

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6

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none of these

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Solution

The correct option is C $4$
$x^{2} - 3 x < 4 \Rightarrow x^{2} - 3 x - 4 < 0 \Rightarrow x^{2} - 4 x + x - 4 < 0 \Rightarrow x (x - 4) + (x - 4) < 0 \Rightarrow (x + 1) (x - 4) < 0 \Rightarrow x \in (- 1, 4)$
Hence Integer point are $0, 1, 2, 3$

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