document.write( "Question 563568: Solve the inequality
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document.write( "x^2+13x>-36\r
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document.write( "What I did:\r
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document.write( "x^2+13x>-36 (add 36 to both sides)
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document.write( "x^2+13x+36>0 (Then I factored)
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document.write( "(x+4)(x+9) (this becomes)
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document.write( "x=-4 x=-9 (now I am stuck)
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document.write( "it is either (-9,-4) or (-Inf,-9)U(-4,Inf) I can't figure it out\r
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Algebra.Com's Answer #365076 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! We have (x+4)(x+9) > 0. What you would do is test certain values of x to see which intervals satisfy. For example, suppose x = -5. Then (-5+4)(-5+9)>0, a false statement. Hence the answer is (infinity, -9) U (-4, infinity).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The other method to do is it note that (x+4)(x+9) is a parabola that opens upward, so the part between the roots -4, -9 would be below the x-axis. \n" ); document.write( " |