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

MCQ

The complete solution of the inequation ${x^2} - 4x < 12\,{\rm{ is}}$

A
$x < - \,2$ or $x > 6$
B
$ - \,6 < x < 2$
C
$2 < x < 6$
✓
$ - \,2 < x < 6$

✓

Answer

Correct option: D.

$ - \,2 < x < 6$

d
(d) ${x^2} - 4x < 12$

==> ${x^2} - 4x - 12 < 0$ ==> ${x^2} - 6x + 2x - 12 < 0$

==> $(x - 6)(x + 2) < 0$ ==> $ - 2 < x < 6$.

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