For the two given equations I and II.

I. \( \Large p^{2} \)+ 5p + 6 = 0

II.\( \Large q^{2} \) + 3q + 2 = 0

A) p is greater than q

B) p is smaller than q.

C) p is equal to q.
D) p is either equal to or smaller than q.

Correct answer:
D) p is either equal to or smaller than q.

Description for Correct answer:
I. => \( \Large p^{2} \) + 3p + 2p + 6 = 0


=> p ( p + 3 ) + 2 ( p + 3 ) = 0


=> ( p + 3 ) ( p + 2 ) = 0


=> p = - 2 or - 3


II. => \( \Large q^{2} \) + q + 2q + 2 = 0


=> q ( q + 1 ) + 2 ( q + 1 ) = 0


=> ( q + 1 ) ( q + 2 ) = 0


=> q = - 1 or - 2


Obviously p \( \Large \leq \) q

Please provide the error details in above question

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