document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598166>Question 598166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of an integer and the next greater integer is at least 35. Find the least pair of such integers.<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 #378513 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there!<BR>\n" );
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document.write( "[I] Define variables<BR>\n" );
document.write( "Let n be an integer. <BR>\n" );
document.write( "Then n+1 is the next greater integer.<BR>\n" );
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document.write( "[II] Write an inequality describing the given relationship(s).<BR>\n" );
document.write( "The phrase, \"The sum of an integer and the next greater integer,\" can be written as n+(n+1). <BR>\n" );
document.write( "The phrase \"at least 35\" can be written as \"greater than or equal to 35.\" Together, we have<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B%28n%2B1%29%3E=35 ALIGN=MIDDLE  ALT=\"n%2B%28n%2B1%29%3E=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify and solve for n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B1%3E=35 ALIGN=MIDDLE  ALT=\"2n%2B1%3E=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%3E=35-1 ALIGN=MIDDLE  ALT=\"2n%3E=35-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%3E=34 ALIGN=MIDDLE  ALT=\"2n%3E=34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%3E=17 ALIGN=MIDDLE  ALT=\"n%3E=17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We want the least pair of such integers. The integer 17 is the smallest integer which satisfies the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%3E=17 ALIGN=MIDDLE  ALT=\"n%3E=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The next greater integer is 18. We see that the sum of 17 and 18 is 35, and 35 is at least 35.<BR>\n" );
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document.write( "That's it. Feel free to email via gmail if you have questions about the solution.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com<BR>\n" );
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