document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158639>Question 1158639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set-Builder Notation and Interval Notation.\r<BR>\n" );
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document.write( "Suppose A={x is an element of real number: -2 less than or equal to X < 5 } and B= (-1, 6]\r<BR>\n" );
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document.write( "1. Find A U B and give the answer in interval notation. (7marks)<BR>\n" );
document.write( "2. Write A n (intersection) B as one set using set builder notation (4marks) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854678 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5396)</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=854678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set A includes the number -2, and all the real numbers between -2 and 5, but not the number 5.<BR>\n" );
document.write( "We could say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%22%5B-2%2C5%29%22 ALIGN=MIDDLE  ALT=\"A=%22%5B-2%2C5%29%22\"   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=drawing%28+400%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Alocate%28+-3%2C+9%2C+number_line%28+220%2C+-3%2C+8%29+%29%2C%0D%0Acircle%28+-2%2C+6.4%2C+0.25+%29%2Ccircle%28+-2%2C+6.4%2C+0.2+%29%2C%0D%0Acircle%28+-2%2C+6.4%2C+0.15+%29%2Ccircle%28+-2%2C+6.4%2C+0.1+%29%2C%0D%0Acircle%28+5%2C+6.4%2C+0.25+%29%2C%0D%0Arectangle%28+-2%2C+6.37%2C+4.75%2C+6.5+%29%2Crectangle%28+-2%2C+6.3%2C+4.75%2C+6.43+%29%2C%0D%0Alocate%28+-3%2C+6%2C+number_line%28+220%2C+-3%2C+8%29+%29%2C%0D%0Acircle%28+6%2C+3.4%2C+0.25+%29%2Ccircle%28+6%2C+3.4%2C+0.2+%29%2C%0D%0Acircle%28+6%2C+3.4%2C+0.15+%29%2Ccircle%28+6%2C+3.4%2C+0.1+%29%2C%0D%0Acircle%28+-1%2C+3.4%2C+0.25+%29%2C%0D%0Arectangle%28+-0.75%2C+3.37%2C+6%2C+3.5+%29%2Crectangle%28+-0.75%2C+3.3%2C+6%2C+3.43+%29%2C%0D%0Alocate%28+-3%2C+2%2C+number_line%28+220%2C+-3%2C+8%29+%29%2C%0D%0Acircle%28+6%2C+-0.6%2C+0.25+%29%2Ccircle%28+6%2C+-0.6%2C+0.2+%29%2C%0D%0Acircle%28+6%2C+-0.6%2C+0.15+%29%2Ccircle%28+6%2C+-0.6%2C+0.1+%29%2C%0D%0Acircle%28+-2%2C+-0.6%2C+0.25+%29%2Ccircle%28+-2%2C+-0.6%2C+0.2+%29%2C%0D%0Acircle%28+-2%2C-0.6%2C+0.15+%29%2Ccircle%28+-2%2C+-0.6%2C+0.1+%29%2C%0D%0Arectangle%28+-2%2C+-0.63%2C+6%2C+-0.5+%29%2Crectangle%28+-2%2C+-0.7%2C+6%2C+-0.57+%29%2C%0D%0Alocate%28+-3%2C+-1%2C+number_line%28+220%2C+-3%2C+8%29+%29%2C%0D%0Acircle%28+5%2C+-3.6%2C+0.25+%29%2Ccircle%28+-1%2C+-3.6%2C+0.25+%29%2C%0D%0Arectangle%28+-0.75%2C+-3.63%2C+5%2C+-3.5+%29%2Crectangle%28+-0.75%2C+-3.7%2C+4.75%2C+-3.57+%29%2C%0D%0Alocate%28-9%2C-3%2Cintersection%29%2Clocate%28-8%2C0%2Cunion%29%2C%0D%0Alocate%28-8%2C4%2CSet%29%2Clocate%28-6%2C4%2CB%29%2C%0D%0Alocate%28-8%2C7%2CSet%29%2Clocate%28-6%2C7%2CA%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1. Find A U B and give the answer in interval notation.<BR>\n" );
document.write( "The set A U B is the union of sets A and B,<BR>\n" );
document.write( "so it contains all the real number that belong to A, or B.<BR>\n" );
document.write( "That would include all the numbers in [-2,5) because they belong to set A.<BR>\n" );
document.write( "A U B would also include [5,6] because those real numbers belong to set B.<BR>\n" );
document.write( "A U B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%5B-2%2C6%5D%22 ALIGN=MIDDLE  ALT=\"%22%5B-2%2C6%5D%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > because all the numbers in [-2,6] belong to either A, or B, or both and no other number.<BR>\n" );
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document.write( "2. Write A n (intersection) B as one set using set builder notation<BR>\n" );
document.write( "A (intersection) B included all the numbers that belong to both sets A and B, and no other number.<BR>\n" );
document.write( "All the numbers between -1 and 5, not including -1 or 5, belong to A and belong to B, and therefore belong to the intersection of A and B.<BR>\n" );
document.write( "Those numbers, and no other numbers satisfy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3Cx%3C5 ALIGN=MIDDLE  ALT=\"-1%3Cx%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In set builder notation, that would be  {x|x is a real number and -1<x<5} .\r<BR>\n" );
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