document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466359>Question 466359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the following problem a, b, c and d represent real numbers.\r<BR>\n" );
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document.write( "Prove: If a = b and c < d, then a + c < b + d<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319986 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To prove it in a more concise way, start by saying that if c < d, we can add equal quantities to both sides to get another true inequality. If we add a to both sides, we get\r<BR>\n" );
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document.write( "a + c < a + d\r<BR>\n" );
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document.write( "We can also replace a with b, and vice versa, because a and b are equal. Replace the a on the RHS side with b to get\r<BR>\n" );
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document.write( "a + c < b + d\r<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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