document.write( "Question 28944: x/2 less than -2 or -x/2 greater than or 0 \n" ); document.write( "
Algebra.Com's Answer #15861 by sdmmadam@yahoo.com(530)\"\" \"About 
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x/2 less than -2 or -x/2 greater than or 0\r
\n" ); document.write( "\n" ); document.write( "x/2 less than -2
\n" ); document.write( "(x/2)< (-2)
\n" ); document.write( "Multiplying by 2 (and multiplying by a positive quantity does not alter the inequality and hence here less than will remain less than)
\n" ); document.write( "x <(-2)X2
\n" ); document.write( "That is x< (-4)\r
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\n" ); document.write( "\n" ); document.write( "(x/2)< (-2)
\n" ); document.write( "Multiplying by (-1)(and multiplying by a negative quantity alters the inequality and hence here less than will become greater than)
\n" ); document.write( "(x/2)X(-1) > (-2)X(-1)
\n" ); document.write( "(-x/2) > +2 and +2 >0
\n" ); document.write( "Therefore by transitivity (-x/2) > 0
\n" ); document.write( "(Transitivity rule: a> b and b>c implies a > c)
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