2011
Mathematics
67ca00ce0c643c71d77dee1f
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 > -5THIS WEEK's
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