passpadi

2011

Mathematics

JAMB

Solve the inequality x2 + 2x > 15.

A.

x < -3 or x > 5

B.

-5 < x < 3

C.

x < 3 or x > 5

D.

x > 3 or x < -5

Correct Answer: -5 < x < 3

Explanation

x2 + 2x > 15 x2 + 2x - 15 > 0 (x2 + 5x) - (3x - 15) > 0 x(x + 5) - 3(x + 5) >0 (x - 3)(x + 5) > 0 therefore, x = 3 or -5 i.e. x< 3 or x > -5

x2 + 2x > 15 x2 + 2x - 15 > 0 (x2 + 5x) - (3x - 15) > 0 x(x + 5) - 3(x + 5) >0 (x - 3)(x + 5) > 0 therefore, x = 3 or -5 i.e. x< 3 or x > -5
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