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Definition of Function

If x 2 -5x+...

Question

If $x^{2} - 5 x + 4 < 0$ , then $x$ lies between

1

and

4

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1

and

5

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2

and

3

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2

and

5

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Solution

The correct option is D $1$ and $4$
$x^{2} - 5 x + 4 = x^{2} - x - 4 x + 4 = (x - 1) (x - 4)$
So, $(x - 1) (x - 4) < 0$
$\Rightarrow 1 < x < 4$

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