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Solving a Quadratic Equation by Factorization Method

What is the s...

Question

What is the solution set of the inequality $x^{2} + 3 x - 10 > 8$ ?

A

x > 3

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B

{x | x < - 6 o r x > 3}

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C

x < 3

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D

{x | x < - 3 o r x > 6}

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Solution

The correct option is B ${x | x < - 6 o r x > 3}$
Given, $x^{2} + 3 x - 10 > 8$
$\Rightarrow x^{2} + 3 x - 18 > 0$
$\Rightarrow (x - 3) (x + 6) > 0$
$\Rightarrow x < - 6 o r x > 3$
$\Rightarrow {x | x < - 6 or x > 3$
Hence, option B is correct choice.

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