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Property 4

The least int...

Question

The least integral value of $x$ for which $33 - x (2 + 3 x) > 0$ is

1

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2

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Solution

The correct option is C $- 3$
We have, $33 - x (2 + 3 x) > 0$

$33 - 2 x - 3 x^{2} > 0$

$3 x^{2} + 2 x - 33 > 0$

$3 x^{2} + 11 x - 9 x - 33 > 0$

$x (3 x + 11) - 3 (3 x + 11) > 0$

$(x - 3) (3 x + 11) > 0 (x - 3) (x + \frac{11}{3}) > 0$

$x \in [- \frac{11}{3}, 3]$

Least integral is $= - 3$

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