document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121579>Question 1121579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary’s age is at least five more than twice her brothers age. Is it possible for Mary to be 7? If Mary’s brother is 10 years old, how old is Mary? <BR>\n" );
document.write( "I need to be able to model this scenario with an inequality and a visual representation of possible options. (Like graph it.) <BR>\n" );
document.write( "This is a part of my summer homework and this is one of the few problems that I have left and I’m stuck. <BR>\n" );
document.write( "I thought I could maybe use M (for Mary) and b (for Mary’s brother) in this equation to find out Mary’s age first off: M=2b+5 <BR>\n" );
document.write( "Besides that I’m stuck, I’ve gone to every possible website, but no other Algebra 2 word problems are similar to mine. <BR>\n" );
document.write( "It would be amazing if you could help, if not hopefully I can figure it out XD. Thank you for reading this!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737515 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your equation, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m\ =\ 2b\ +\ 5\"> represents the <b>youngest</b> that Mary could be in relation to her brother's actual age.  But you are given that Mary is <i>at least</i> five years older than twice her brother's age, so an inequality is required to correctly model the situation.  So if the \"equals\" relationship is the youngest she can be, then she must either be equal to that age or <i>greater</i>, which is to say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m\ \geq\ 2b\ +\ 5\">\r<BR>\n" );
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document.write( "So what is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\"> if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m\ =\ 7\">?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 7\ \geq\ 2b\ +\ 5\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2\ \geq\ 2b\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ b\ \leq\ 1\">\r<BR>\n" );
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document.write( "And it certainly is possible for the brother to be one year old, and therefore it is, indeed, possible for Mary to be 7.  In fact, if you don't restrict the domain of your inequality to the integers, Mary could be a good deal younger than 7 years old.  Consider the situation where the brother was born 5 minutes ago.  Then Mary could be as young as 5 years and 10 minutes old.  Of course, you have no real idea about the upper bound of her age range except that there are practical limitations on the difference in ages of a given woman's oldest and youngest child.  For Mary to be 30 years older than her brother in the real world would be quite a stretch for their mother.\r<BR>\n" );
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document.write( "As to Mary's age when the brother is 10, just plug 10 into your inequality and do the indicated arithmetic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m\ \geq\ 2(10)\ +\ 5\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m\ \geq\ 25\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=solver91311&illustration_name=maryandbrother.jpg\"><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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