document.write( "Question 280881: 1/2(5x-1/2)-5/3<1/3 \n" ); document.write( "
Algebra.Com's Answer #204157 by checkley77(12844)\"\" \"About 
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1/2(5x-1/2)-5/3<1/3
\n" ); document.write( "5x/2-1/4-5/3<1/3
\n" ); document.write( "5x/2<1/3+1/4+5/3
\n" ); document.write( "5x/2<6/3+1/4
\n" ); document.write( "5x/2<2+1/4
\n" ); document.write( "5x/2<9/4 cross multiply.
\n" ); document.write( "5x*4<2*9
\n" ); document.write( "20x<18
\n" ); document.write( "x<18/20
\n" ); document.write( "x<9/10 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "Let x=8/10.
\n" ); document.write( "1/2(5*8/10-1/2)-5/3<1/3
\n" ); document.write( "1/2(40/10-1/2)-5/3<1/3
\n" ); document.write( "1/2(4-1/2)-5/3<1/3
\n" ); document.write( "1/2*7/2-5/3<1/3
\n" ); document.write( "7/4-5/3<1/3
\n" ); document.write( "(7*3-5*4)/4*3<1/3
\n" ); document.write( "(21-20)/12<1/3
\n" ); document.write( "1/12<1/3
\n" ); document.write( " \n" ); document.write( "
\n" );