document.write( "Question 82821: this question is not from the book even though i put in the imformation. its from a worksheet that we were given in class. and i know this is kind of something i should already know but i have missed a few classes and i still dont get how write infinities and unions. the question is:\r
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document.write( "(x-5)(x+4)(1-x)<0\r
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document.write( "i have looked over the book for help and think that it might be something to the effect of (-4,-1) U (5,infinity)\r
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document.write( "am i on the right track? could someone please tell me? \n" );
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Algebra.Com's Answer #59402 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (x-5)(x+4)(1-x)<0 \n" ); document.write( "------------------ \n" ); document.write( "To do problems like this you have to first of all \n" ); document.write( "find the values of x that make the left side zero. \n" ); document.write( "They are x=5,x=-4, and x=1. \n" ); document.write( "Then, draw a number line and find points \n" ); document.write( "left to right of -4,1,5. \n" ); document.write( "Those points break the number line into four intervals. \n" ); document.write( "You have to check a test point from each interval to see \n" ); document.write( "where the inequality is satisfied: \n" ); document.write( "----------------- \n" ); document.write( "In (-inf,-4) pick x=-100; then f(-100) is -*-*+ >0; so (-inf,-4) is not part of the solution. \n" ); document.write( "In (-4,1) pick x=0; then f(0) is -*+*+ <0; so (-4,1) is part of the solution.\r \n" ); document.write( "\n" ); document.write( "In (1,5) pick x=3; then f(3) is -*+*- >0; so (1,5) is not part of the solution.\r \n" ); document.write( "\n" ); document.write( "In (5,inf) pick x=100; then f(100) is +*+*- <0; so (5,inf) is part of the solution. \n" ); document.write( "-------------- \n" ); document.write( "Final Answer (-4,1) U (5,inf) \n" ); document.write( "================== \n" ); document.write( "You have it right. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |