document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647543>Question 647543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Professor I'm having trouble with solving absolute value equations and inequalities. Hopefully this is clear.     /z-2/ > 0<BR>\n" );
document.write( "(A) - infinity, +infinity. (B) 0 (C) 2,-2 or (D) - infinity, 2 and 2, infinity  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406284 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28z-2%29+%3E+0+ ALIGN=MIDDLE  ALT=\"abs%28z-2%29+%3E+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-2%29+%3E0 ALIGN=MIDDLE  ALT=\"%28z-2%29+%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28z-2%29+%3E+0 ALIGN=MIDDLE  ALT=\"-%28z-2%29+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-2%3E0 ALIGN=MIDDLE  ALT=\"z-2%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+%3E+2 ALIGN=MIDDLE  ALT=\"z+%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ii)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28z-2%29%3E0 ALIGN=MIDDLE  ALT=\"-%28z-2%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Recall when dividing or multiplying by a negative number, it switches the way the inequality points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-2%29%3C0 ALIGN=MIDDLE  ALT=\"%28z-2%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%3C2 ALIGN=MIDDLE  ALT=\"z%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have that z<2 and z>2. The answer may be clearer if we put this in interval notation.\r<BR>\n" );
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document.write( "So z exists in  (-infinity,2) U (2,infinity). U is the union of sets symbol.\r<BR>\n" );
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document.write( "D.<BR>\n" );
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