document.write( "Question 665383: Solve the following 3x-3/x+1<_ 2 \n" ); document.write( "
Algebra.Com's Answer #413811 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (3x-3)/(x+1) <= 2 \n" ); document.write( "------------ \n" ); document.write( "Factor: \n" ); document.write( "[3(x-1)/(x+1)] <= 2 \n" ); document.write( "------------ \n" ); document.write( "x cannot be -1 \n" ); document.write( "----- \n" ); document.write( "Solve the Equality: \n" ); document.write( "(3x-3)/(x+1) = 2 \n" ); document.write( "3x-3 = 2x+2 \n" ); document.write( "x = 5 \n" ); document.write( "-------- \n" ); document.write( "Draw a number line and plot x = -1, x = 5 \n" ); document.write( "----- \n" ); document.write( "Test the interval (-oo,-1) \n" ); document.write( "[3(x-1)/(x+1)] <= 2 \n" ); document.write( "If x = -3 you get (3(-4))/(-2) = 6 < 2 False \n" ); document.write( "so no solutions where -oo \n" ); document.write( "Test -1< x <5: \n" ); document.write( "[3(x-1)/(x+1)] <= 2 \n" ); document.write( "If x = 0 you get (3(-1))/(1) = -3 <=2 True, \n" ); document.write( "so solution in the interval (-1,5] \n" ); document.write( "------------------------------------ \n" ); document.write( "Test the interval (5,+oo) \n" ); document.write( "[3(x-1)/(x+1)] <= 2 \n" ); document.write( "If x = 10 you get (3(9))/(11 = 27/11 = 2 5/11 <= 2 False, \n" ); document.write( "so no solutions in (5,+oo) \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. |