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For which of the following values of x the inequality x (x + 3) < 10 is satisfied ?
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A) x > 2 , x < - 5 |
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B) = -5 < x < 2 |
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C) = -2 < x < 5 |
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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
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
Part of solved Aptitude questions and answers : >> Aptitude
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