document.write( "Question 715449: Identify which is a solution for the inequality (x+1)/(x-4)<_0 \n" ); document.write( "
Algebra.Com's Answer #439431 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (x+1)/(x-4) <= 0 \n" ); document.write( "------ \n" ); document.write( "x = -1 is a solution \n" ); document.write( "x = 4 cannot be a solution. \n" ); document.write( "----- \n" ); document.write( "Plot those value on a number line. \n" ); document.write( "--- \n" ); document.write( "That creats 3 intervals on the the line. \n" ); document.write( "--- \n" ); document.write( "Test a value in each interval to see where the solutions lie. \n" ); document.write( "--- \n" ); document.write( "If x = -10 you get -/- > 0, so no solutions in (-oo,-1) \n" ); document.write( "--- \n" ); document.write( "If x = 0 you get +/- < 0, so solutions in [1,4) \n" ); document.write( "---- \n" ); document.write( "If x = 10 you get +/+ > 0, so no solutions in [4,+oo) \n" ); document.write( "----- \n" ); document.write( "Ans: [1,4) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " \n" ); document.write( " |