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)\"\" \"About 
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-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
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