document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=657647>Question 657647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different possible whole number values are there for x if the triangle has one side of 24, one side as 27 and the third side as x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412021 by </B><A HREF=/tutors/aboutme.mpl?userid=kevwill><B>kevwill(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kevwill><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=kevwill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=412021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a triangle, we know that the sum of the lengths of any two sides must be greater than the length of the third side.  <BR>\n" );
document.write( "Based on that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+24+%2B+27 ALIGN=MIDDLE  ALT=\"x+%3C+24+%2B+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+51 ALIGN=MIDDLE  ALT=\"x+%3C+51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+24+%3E+27 ALIGN=MIDDLE  ALT=\"x+%2B+24+%3E+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+3 ALIGN=MIDDLE  ALT=\"x+%3E+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%3C+x+%3C+51 ALIGN=MIDDLE  ALT=\"3+%3C+x+%3C+51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The possible values for x range from 4 to 50.  There are 47 whole numbers in this range, so there are 47 different possible whole number values for x.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );