document.write( "Question 4242: If a < b, then -a > -b. Why? \n" ); document.write( "
Algebra.Com's Answer #2493 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
Start with: \r
\n" ); document.write( "\n" ); document.write( "a < b (a less than b)\r
\n" ); document.write( "\n" ); document.write( "that's the same as saying\r
\n" ); document.write( "\n" ); document.write( "b > a\r
\n" ); document.write( "\n" ); document.write( "Look at \r
\n" ); document.write( "\n" ); document.write( "b > a\r
\n" ); document.write( "\n" ); document.write( "subtract a from both sides:\r
\n" ); document.write( "\n" ); document.write( "b-a > a-a\r
\n" ); document.write( "\n" ); document.write( "b-a > 0\r
\n" ); document.write( "\n" ); document.write( "subtract b from both sides:\r
\n" ); document.write( "\n" ); document.write( "b-a-b > -b\r
\n" ); document.write( "\n" ); document.write( "b and -b cancel out\r
\n" ); document.write( "\n" ); document.write( "-a > -b\r
\n" ); document.write( "\n" ); document.write( "QED
\n" ); document.write( "
\n" );