The correct option is A (0,8) R.E.F image #160;On solving this inequality, #160; x^2 lt;8x x^2 8x lt;0 x(x 8) lt;0 using number lin ...

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Law of Reciprocal

x 2 < 8x,x∈

Question

$x^{2} < 8 x, x \in$

(0, 8)

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(0)

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(0, 9)

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None of these

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Solution

The correct option is A $(0, 8)$
R.E.F image
On solving this inequality,
$x^{2} < 8 x$
$x^{2} - 8 x < 0$
$x (x - 8) < 0$
using number line and plotting critical
points
So, the inequality is satisfied
at negative region
So $x ϵ (0, 8)$

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