document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189296>Question 1189296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that 2x + 2 ≤ 33, find the largest value of x if: \r<BR>\n" );
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document.write( "a. x is an integer\r<BR>\n" );
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document.write( "b. x is a prime number\r<BR>\n" );
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document.write( "c. x is an even number\r<BR>\n" );
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document.write( "d. x is an odd number\r<BR>\n" );
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document.write( "e. x is a perfect square\r<BR>\n" );
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document.write( "f. x is a perfect cube </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820625 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's solve the given inequality for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2+%3C=+33 ALIGN=MIDDLE  ALT=\"2x%2B2+%3C=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%3C=+33-2 ALIGN=MIDDLE  ALT=\"2x+%3C=+33-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%3C=+31 ALIGN=MIDDLE  ALT=\"2x+%3C=+31\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C=+31%2F2 ALIGN=MIDDLE  ALT=\"x+%3C=+31%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C=+15.5 ALIGN=MIDDLE  ALT=\"x+%3C=+15.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If x is a real number, then the highest it can go is 15.5\r<BR>\n" );
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document.write( "Now onto the questions your teacher asked:<BR>\n" );
document.write( "If x is an integer, then the highest x can go is x = 15.<BR>\n" );
document.write( "If x is prime, then the highest it can go is x = 13 <BR>\n" );
document.write( "If x is even, then the highest it can go is x = 14 <BR>\n" );
document.write( "If x is odd, then the highest it can go is x = 15 <BR>\n" );
document.write( "If x is a perfect square, then the highest it can go is x = 9 <BR>\n" );
document.write( "If x is a perfect cube, then the highest it can go is x = 8\r<BR>\n" );
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document.write( "Relevant sets needed:<BR>\n" );
document.write( "integers = {..., -3, -2, -1, 0, 1, 2, 3, ...}<BR>\n" );
document.write( "prime numbers = {2, 3, 5, 7, 11, 13, 17, 23, ...}<BR>\n" );
document.write( "even numbers = {..., -4, -2, 0, 2, 4, ...} <BR>\n" );
document.write( "odd numbers = {..., -3, -1, 1, 3, 5, ...} <BR>\n" );
document.write( "perfect squares = {1, 4, 9, 16, 25, ...}<BR>\n" );
document.write( "perfect cubes = {1, 8, 27, 64, 125, ...}<BR>\n" );
document.write( "</font> </SPAN>\n" );
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