document.write( "Question 365282: Solve the inequality, state the solution using the interval notation and graph.\r
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document.write( "x - 3 < 0
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document.write( "x + 5 \n" );
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Algebra.Com's Answer #260413 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the inequality, state the solution using the interval notation and graph.\r \n" ); document.write( "\n" ); document.write( "x - 3 < 0 \n" ); document.write( "_____ \n" ); document.write( "x + 5\r \n" ); document.write( "\n" ); document.write( "----------------- \n" ); document.write( "Find the boundary values. \n" ); document.write( "x = 3 because the numerator cannot be zero. \n" ); document.write( "x = -5 because the denominator cannot be zero. \n" ); document.write( "-------------- \n" ); document.write( "Draw a number line and plot those two values. \n" ); document.write( "---- \n" ); document.write( "Check a value in each resulting interval in the \n" ); document.write( "INEQUALITY to see where the solutions are. \n" ); document.write( "-- \n" ); document.write( "(x-3)/(x+5) < 0 \n" ); document.write( "---- \n" ); document.write( "If x = -10 you get -/- < 0; false \n" ); document.write( "If x = 0 you get -/+ < 0; true, so solutions in (-5,3) \n" ); document.write( "If x = 10 you get +/+ <0; false \n" ); document.write( "------ \n" ); document.write( "Solution: (-5,3) \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |