For which of the following values of x the inequality x (x + 3) < 10 is satisfied ?

A) x > 2 , x < - 5

B) = -5 < x < 2

C) = -2 < x < 5
D) x < - 2 , x > 5

Correct answer:
B) = -5 < x < 2

Description for Correct answer:
x (x + 3) < 10

Corresponding equation :

x (x + 3) = 10

\( \Large x^{2} + 3x - 10 = 0 \)

\( \Large x^{2} + 5x - 2x - 10 = 0 \)

x (x + 5) - 2(x + 5) = 0

(x - 2) (x + 5) = 0

or (x - 2) (x + 5) < 0

=> - 5 < x < 2

Please provide the error details in above question

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