document.write( "Question 29764: Solve the inequality -12<=-3x+6<=12
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Algebra.Com's Answer #16457 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! -12<=-3x+6<=12\r \n" ); document.write( "\n" ); document.write( "-12<=-3x+6 \n" ); document.write( "3x=<6+12 (grouping like terms,changing sign while changing side) \n" ); document.write( "3x=<18 \n" ); document.write( "x=<6 ----(1) \n" ); document.write( "(dividing by the positive integer 3 and division by a positive quantity does not alter the inequality)\r \n" ); document.write( "\n" ); document.write( "-3x+6<=12 \n" ); document.write( "-3x=<12-6 (grouping like terms,changing sign while changing side) \n" ); document.write( "-3x=<6 \n" ); document.write( "x>=6/(-3) (dividing by the negative integer 3 and division by a negative quantity alters the inequality and so less than becomes greater than and of course equality remains the same) \n" ); document.write( "x>=-2 \n" ); document.write( "That is -2< = x----(2) \r \n" ); document.write( "\n" ); document.write( "From (2) and (1) by transitivity \n" ); document.write( "we have -2 =< x =<6 \n" ); document.write( " |