JAMB - Mathematics (2011 - No. 17)

Solve the inequality x2 + 2x > 15.
x < -3 or x > 5
-5 < x < 3
x < 3 or x > 5
x > 3 or x < -5

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

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