document.write( "Question 518534: Help to solve steps of the inequality... (x+1)/(x-3)<5 I actually know that the answer is 3
Algebra.Com's Answer #345216 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (x+1)/(x-3) < 5 \n" ); document.write( "------------------- \n" ); document.write( "x cannot be 3 as the left side of the inequality would be undefined. \n" ); document.write( "Solve the EQUALITY: x+1 = 5x-15 ; 4x = 16 ; x = 4 \n" ); document.write( "----- \n" ); document.write( "Draw a Number line; plot x = 3 and x = 4 on the line. \n" ); document.write( "Test a value in each of the three line intervals to \n" ); document.write( "find the solution intervals. \n" ); document.write( "-------------------- \n" ); document.write( "If x = 0 you get (0+1)/(0-3) <5 ; \n" ); document.write( "true so solutions in the interval (-oo,3) \n" ); document.write( "=================================== \n" ); document.write( "If x = 3.5 you get (3.5+1)/(3.5-3)<5 ; false \n" ); document.write( "=================================== \n" ); document.write( "If x = 5 you get (5+1)/(5-3) < 5 ; true so solutions in (4,+oo) \n" ); document.write( "========================================== \n" ); document.write( "Solution: (-oo,3)U(4,+oo) \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================= \n" ); document.write( " |