document.write( "Question 50458This question is from textbook Pre-Calculus with Limits
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document.write( ": I tried the following problem and came up with a different answer than the textbook.\r
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document.write( "x^2+4x+4>9
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document.write( "x^2+4x-5>0
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document.write( "(x+5)(x-1)>0
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document.write( "x+5>0, x-1>0
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document.write( "x>-5, x>1\r
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document.write( "The book has the answer to be x<-5 and x>1. I checked my work a few times and I still can't find what I did wrong. Please help me find my error. Thank you in advance. \n" );
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Algebra.Com's Answer #33511 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! x^2+4x+4>9 \n" ); document.write( "x^2+4x-5>0 \n" ); document.write( "(x+5)(x-1)>0\r \n" ); document.write( "\n" ); document.write( "At this point you need to mark -5 and +1 on a number line. \n" ); document.write( "Those two points create three segments on the line. \n" ); document.write( "You need to check a value in each segment to see where your \n" ); document.write( "solutions lie. \n" ); document.write( "--------------- \n" ); document.write( "For example choose values -10,0,and 10 \n" ); document.write( "If x=-10 the inequality becomes (-5)(-11) which is greater zero \n" ); document.write( "This means there are solutions in the interval (-infinity,-5) \n" ); document.write( "------------ \n" ); document.write( "If x=0 the inequality becomes (5)(-1) which is less than zero \n" ); document.write( "So, no solutions in the interval (-5,1)\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( "If x=10 the inequality becomes (15)(9) which is greater than zero. \n" ); document.write( "This means the interval (1,+infinity) is part of the solution set of the inequality. \n" ); document.write( "--------- \n" ); document.write( "Conclusion: \n" ); document.write( "x<-5 or x>1 is the solution set.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |