document.write( "Question 1054743: Solve the inequalities for x
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document.write( "x/x-2>3x-4/x \n" );
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Algebra.Com's Answer #669961 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! x/x-2>3x-4/x \n" ); document.write( "---------------------- \n" ); document.write( "x^2 > (x-2)(3x-4) \n" ); document.write( "-------- \n" ); document.write( "x^2 > 3x^2 -10x + 8 \n" ); document.write( "--------------------------- \n" ); document.write( "2x^2 - 10x + 8 < 0 \n" ); document.write( "------------------------------ \n" ); document.write( "x^2 - 5x + 4 < 0 \n" ); document.write( "------- \n" ); document.write( "(x-4)(x-1) < 0 \n" ); document.write( "-------- \n" ); document.write( "Draw a number line. \n" ); document.write( "Plot x = 1 and x = 4 \n" ); document.write( "Check a value in each of the 3 line intervals to find the solution set. \n" ); document.write( "--------------------- \n" ); document.write( "Check x = 0 gives:: -*- < 0 ; False \n" ); document.write( "Check x = 2 gives:: -*+ < 0 ; True ; So, solutions in (1,4) \n" ); document.write( "Check x = 5 gives:: +*+ < 0 : False \n" ); document.write( "-------------------- \n" ); document.write( "Ans:: All Real x in the interval (1,4) \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |