document.write( "Question 23146: (x-2)(2x+1)(2x-3)>0
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document.write( "find the range of x ? \n" );
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Algebra.Com's Answer #11627 by khwang(438) ![]() You can put this solution on YOUR website! (x-2)(2x+1)(2x-3)>0 \n" ); document.write( "find the range of x ? \n" ); document.write( " \n" ); document.write( " There are three roots of (x-2)(2x+1)(2x-3) = 0,namely 2, 3/2 and -1/2 \n" ); document.write( " (in descending order).\r \n" ); document.write( "\n" ); document.write( " Hence, (x-2)(2x+1)(2x-3)>0 --> x >2 or -1/2 < x < 3/2.\r \n" ); document.write( "\n" ); document.write( " That is, the solution set of (x-2)(2x+1)(2x-3)>0 is \n" ); document.write( " (-1/2, 3/2) U (2, +oo) .\r \n" ); document.write( "\n" ); document.write( " Draw a diagram on the real line you will see. \r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |