document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662772>Question 662772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of the first side of a triangle is a whole number greater than 3. The second side is 3 inches longer then the first, and the third side is 3 inches longer than the second. How many such triangles have perimeters less than 36 inches? Need to write the inequality and solve it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412500 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=412500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the length of the first side be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches.<BR>\n" );
document.write( "The length of the second side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches.<BR>\n" );
document.write( "The length of the third side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%2B3=x%2B6 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%2B3=x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches.<BR>\n" );
document.write( "The perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2B3%2Bx%2B6=3x%2B9 ALIGN=MIDDLE  ALT=\"x%2Bx%2B3%2Bx%2B6=3x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches.<BR>\n" );
document.write( "Your inequality for the perimeter is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9%3C36 ALIGN=MIDDLE  ALT=\"3x%2B9%3C36\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3C36-9 ALIGN=MIDDLE  ALT=\"3x%3C36-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3C27 ALIGN=MIDDLE  ALT=\"3x%3C27\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C9%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You also know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E3 ALIGN=MIDDLE  ALT=\"x%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a whole number.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a while number that satisfies <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3Cx%3C9 ALIGN=MIDDLE  ALT=\"3%3Cx%3C9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The possible values for x are:<BR>\n" );
document.write( "4, 5, 6 ,7, and 8,<BR>\n" );
document.write( "so there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%29 ALIGN=MIDDLE  ALT=\"highlight%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible triangles. </SPAN>\n" );
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