document.write( "Question 206702This question is from textbook intermediate algebra
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document.write( ": solve and graph the solution set:
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document.write( "((2x-1)(x+3))/(x-4) ≤0 \n" );
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Algebra.Com's Answer #156237 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve and graph the solution set: \n" ); document.write( "((2x-1)(x+3))/(x-4) ≤0 \n" ); document.write( "------------------------------------ \n" ); document.write( "Draw a number line and mark x = 1/2, -3, and 4 \n" ); document.write( "-------------------- \n" ); document.write( "x = 1/2 and x = -3 are part of the solution set. x=4 is not allowed. \n" ); document.write( "--------------------------------- \n" ); document.write( "You want to know when the left side is negative so check the sign \n" ); document.write( "of the left side with check values in the intervals of the number line. \n" ); document.write( "Check x = -5 \n" ); document.write( "The left signs are: -*-/- < 0 so solutions in (-inf,-3) \n" ); document.write( "--- \n" ); document.write( "Check x = 0 \n" ); document.write( "The left signs are: -*+/- > 0 so NO solutions in (-3,1/2) \n" ); document.write( "--- \n" ); document.write( "Check x = 2 \n" ); document.write( "The left signs are +*+/- < 0 so solutions in [1/2,4) \n" ); document.write( "------- \n" ); document.write( "Check x = 5 \n" ); document.write( "The left signs are: +*+/+ > 0 so NO solutions in (4,+inf) \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |