document.write( "Question 26497: How do i do this question:\r
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document.write( "(x-2)(x+3)/(x-4) > 0 \n" );
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Algebra.Com's Answer #14368 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! (x-2)(x+3)/(x-4) > 0 \n" ); document.write( "FOR A FRACTION TO BE POSITIVE ,BOTH N.R AND D.R SHOULD BE POSTIVE OR NEGATIVE \n" ); document.write( "CASE I....N.R AND D.R POSITIVE \n" ); document.write( "FOR PRODUCT OF 2 FACTORS TO BE POSITIVE BOTH SHOUD BE POSITIVE OR NEGATIVE. \n" ); document.write( "VARIANT I \n" ); document.write( "X-2,X+3 ARE POSITIVE.SO X>2..D.R=X-4....X-4>0...SO X>4 \n" ); document.write( "THAT IS IN THIS CASE X>4 \n" ); document.write( "-------------------------- \n" ); document.write( "VARIANT II \n" ); document.write( "X-2,X+3 ARE NEGATIVE.SO X<-3....D.R=X-4.....X-4>0...SO X>4...THIS IS NOT POSSIBLE \n" ); document.write( "------------------------------------------------------------------------------ \n" ); document.write( "SO UNDER CASE I,THE ONLY POSSIBILITY IS X>4 \n" ); document.write( "************************************************ \n" ); document.write( "CASE II........N.R AND D.R NEGATIVE......... \n" ); document.write( "FOR PRODUCT OF 2 FACTORS TO BE NEGATIVE ONE SHOUD BE POSITIVE AND ANOTHER NEGATIVE. \n" ); document.write( "SO X SHOULD BE BETWEEN 2 AND -3....AND D.R=X-4<0...X<4 \n" ); document.write( "SO X IS BETWEEN 2 AND -3\r \n" ); document.write( "\n" ); document.write( "-----------------------------------------\r \n" ); document.write( "\n" ); document.write( "hence the total solution set is for \n" ); document.write( "x to be greater than 4 or between 2 and -3. \n" ); document.write( " |