SOLUTION: x^2+2x>0

Question 106185This question is from textbook
: x^2+2x>0 This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^2+2x>0
x(x+2) > 0
Draw a number line:
Mark x= 0 and x=-2 on the line:
These are the boundaries of the solution set.
Check each set interval to see where the solution set(s) is.
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In (-inf,-2) test -3 in the inequality: -3*-1>0; true so (-inf,-2) is part of the solution.
In (-2,0) test -1 in the inequality: -1*1>0; false so no solution in (-2,0)
In (0,ing) test 1 in the inequality: 1*3>0; true so solution in (0,inf)
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Final solution: (-inf,-2)U(0,inf)
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Cheers,
Stan H.
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