Which of the following values of P satisfy the inequality P (P - 3) < 4P - 12 ?

A) P > 14 or P < 13

B) 24 \( \Large \leq \) P < 71

C) P > 13 ; P < 51

D) P = 4, P = + 3

Correct answer:
D) P = 4, P = + 3

Description for Correct answer:
P (P - 3) = 4P - 12

\( \Large P^{2} - 3P = 4P - 12 \)

\( \Large P^{2} - 7P + 12 = 0 \)

\( \Large \because P = -\frac{(-7) \pm \sqrt{49 - 4 \times 12}}{2} \)

= \( \Large \frac{7 \pm \sqrt{1}}{2} = \frac{7 + 1}{2} , \frac{7 - 1}{2} \) = 4, 3


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