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Solve the qua...

Question

Solve the quadratic inequality. Write the solution set in interval notation.
$x^{2} - 4 x - 21 \leq 0$

A

[7,

\infty

)

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B

(-

\infty

, -3]

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C

(-

\infty

, -3]

\cup

[7,

\infty

)

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D

[- 3, 7]

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Solution

The correct option is C $[- 3, 7]$
Factorize $x^{2} - 4 x - 21 \leq 0$
$(x + 3) (x - 7) \leq 0$
This equation will be less than or equal to zero for the interval $[- 3, 7] .$

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