document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179599>Question 1179599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the property being demonstrated in each term.  \r<BR>\n" );
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document.write( "1. x = y; z → x = z <BR>\n" );
document.write( "2. 4 · 8 = 8· 4 <BR>\n" );
document.write( "3. 6(3 + 7) = 18 + 42<BR>\n" );
document.write( "4. Given the numbers -8 and 6: -8 < 6 <BR>\n" );
document.write( "5. 2 + (4 +11) = (2 + 4) + 11<BR>\n" );
document.write( "6. 14 + 6 = 6 +14<BR>\n" );
document.write( "7. 5 < 7; 7 <13 → 5 < 13<BR>\n" );
document.write( "8. Given x > y and the number 3: 3x > 3y <BR>\n" );
document.write( "9. Given x €R, x = x<BR>\n" );
document.write( "10. (5 · 12) · 6 = 5 · (12 · 6)<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 #809168 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "1. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y ALIGN=MIDDLE  ALT=\"x+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" > (here should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=y ALIGN=MIDDLE  ALT=\"z=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >) → <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+z ALIGN=MIDDLE  ALT=\"x+=+z\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>transitive property<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y ALIGN=MIDDLE  ALT=\"x+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+z ALIGN=MIDDLE  ALT=\"y+=+z\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+z ALIGN=MIDDLE  ALT=\"x+=+z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A8+=+8%2A4 ALIGN=MIDDLE  ALT=\"4%2A8+=+8%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>Commutative Property of Multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+=+yx ALIGN=MIDDLE  ALT=\"xy+=+yx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%283+%2B+7%29+=+18+%2B+42 ALIGN=MIDDLE  ALT=\"6%283+%2B+7%29+=+18+%2B+42\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>distributive property of multiplication over addition\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28y+%2B+z%29+=+xy+%2B+xz ALIGN=MIDDLE  ALT=\"x%28y+%2B+z%29+=+xy+%2B+xz\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4. Given the numbers<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8+ ALIGN=MIDDLE  ALT=\"+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6 ALIGN=MIDDLE  ALT=\"+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+%3C+6+ ALIGN=MIDDLE  ALT=\"-8+%3C+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>transitive property<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y ALIGN=MIDDLE  ALT=\"x+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+z ALIGN=MIDDLE  ALT=\"y+=+z\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+z ALIGN=MIDDLE  ALT=\"x+=+z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "5. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+%284+%2B11%29+=+%282+%2B+4%29+%2B+11 ALIGN=MIDDLE  ALT=\"2+%2B+%284+%2B11%29+=+%282+%2B+4%29+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>associative property of addition\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+y%29+%2Bz+=+x+%2B+%28y+%2B+z%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+y%29+%2Bz+=+x+%2B+%28y+%2B+z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "6. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14+%2B+6+=+6+%2B14 ALIGN=MIDDLE  ALT=\"14+%2B+6+=+6+%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>Commutative Property of Addition<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y=+y+%2B+x ALIGN=MIDDLE  ALT=\"x+%2B+y=+y+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "7. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%3C+7 ALIGN=MIDDLE  ALT=\"5+%3C+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%3C13 ALIGN=MIDDLE  ALT=\"7+%3C13\"   DISABLED_style= \"max-width:90%; height:auto;\" > → <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%3C+13 ALIGN=MIDDLE  ALT=\"5+%3C+13\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>transitive property<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3Cy ALIGN=MIDDLE  ALT=\"x+%3Cy\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3C+z ALIGN=MIDDLE  ALT=\"y+%3C+z\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+z ALIGN=MIDDLE  ALT=\"x+%3C+z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "8. Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+y+ ALIGN=MIDDLE  ALT=\"x+%3E+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and the number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%3E+3y ALIGN=MIDDLE  ALT=\"3x+%3E+3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>multiplicative property<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+y+ ALIGN=MIDDLE  ALT=\"x+%3E+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and the number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax+%3E+ay ALIGN=MIDDLE  ALT=\"ax+%3E+ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "9. Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > € <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+x ALIGN=MIDDLE  ALT=\"x+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>  reflexive property  \r<BR>\n" );
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document.write( "10. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285+%2A+12%29+%2A6+=+5+%2A%2812+%2A6%29 ALIGN=MIDDLE  ALT=\"%285+%2A+12%29+%2A6+=+5+%2A%2812+%2A6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>associative property of multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28xy%29z+=+x%28yz%29 ALIGN=MIDDLE  ALT=\"%28xy%29z+=+x%28yz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );