(D) Given the inequation: $x^2 - 4x < 12$ Subtract $12$ from both sides: $x^2 - 4x - 12 < 0$ Factor the quadratic expression: $(x - 6)(x + 2) < 0$ For

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(D) Given the inequation: $x^2 - 4x Subtract $12$ from both sides: $x^2 - 4x - 12 Factor the quadratic expression: $(x - 6)(x + 2) For the product of two factors to be negative,the factors must have opposite signs. This inequality holds when $x$ is between the roots $-2$ and $6$. Thus,the solution is $-2 < x < 6$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic inequations and Newton Formula

Easy

The complete solution of the inequation $x^2 - 4x < 12$ is

A
$x < -2$ or $x > 6$
B
$-6 < x < 2$
C
$2 < x < 6$
D
$-2 < x < 6$

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4-2.Quadratic Equations and Inequations

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Solution of quadratic inequations and Newton Formula

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The complete solution of the inequation $x^2 - 4x < 12$ is

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