Question 394465: what is the solution of the inequality x^2+4x>12?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! 
<==> 
<==> (x - 6)(x + 2) > 0
Critical numbers are 6, -2.
Choose test numbers -3, 0, and 7.
For ( , -2), (-3 - 6)(-3 + 2) = -9*-1 = 9 >0
For (-2, 6), (0-6)(0+2) = -6*2 = -12 < 0
For (-2,  ), (7-6)(7+2) = 9 >0.
Therefore, the solution set is (, -2)U (6, ).
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