document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139998>Question 139998</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534436730/algebrahomeworkh>an intermediate course in algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> solve each absolute value equation or inequality analytically using a distance statement <BR>\n" );
document.write( "report your solution using equality or inequality notation.\r<BR>\n" );
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document.write( "a. (w and 10 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-10%3E0.5 ALIGN=MIDDLE  ALT=\"w-10%3E0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b. (x and 2.3 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2.3is+greater+than+or+equal+to+1.7 ALIGN=MIDDLE  ALT=\"x%2B2.3is+greater+than+or+equal+to+1.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c. (x and 1005 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1005+is+less+than+or+equal+to+10 ALIGN=MIDDLE  ALT=\"x-1005+is+less+than+or+equal+to+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "d. (R and 5 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R-5%3C-2 ALIGN=MIDDLE  ALT=\"R-5%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "e. <BR>\n" );
document.write( "(0.25w and 1.75 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25w-1.75is+greater+than+or+equal+to+1 ALIGN=MIDDLE  ALT=\"0.25w-1.75is+greater+than+or+equal+to+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "f. (x and 3are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%3C-2 ALIGN=MIDDLE  ALT=\"x%2B3%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102025 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=102025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. (w and 10 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-10%3E0.5 ALIGN=MIDDLE  ALT=\"w-10%3E0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "|w-10| > 0.5<BR>\n" );
document.write( "w-10 < -0.5 or x-10 > 0.5<BR>\n" );
document.write( "x < 9.5 or x > 10.5<BR>\n" );
document.write( "---------------------------\r<BR>\n" );
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document.write( "b. (x and 2.3 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2.3is+greater+than+or+equal+to+1.7 ALIGN=MIDDLE  ALT=\"x%2B2.3is+greater+than+or+equal+to+1.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "|x+2.3| >= 1.7<BR>\n" );
document.write( "x+2 <= -1.7 or x+2 >= 1.7<BR>\n" );
document.write( "x <= -3.7 or x >=-.03<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "c. (x and 1005 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1005+is+less+than+or+equal+to+10 ALIGN=MIDDLE  ALT=\"x-1005+is+less+than+or+equal+to+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-10 <= x-1005 <= 10<BR>\n" );
document.write( "995 <= x <= 1015<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "d. (R and 5 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R-5%3C-2 ALIGN=MIDDLE  ALT=\"R-5%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "e. <BR>\n" );
document.write( "(0.25w and 1.75 are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25w-1.75is+greater+than+or+equal+to+1 ALIGN=MIDDLE  ALT=\"0.25w-1.75is+greater+than+or+equal+to+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "f. (x and 3are in absolute value form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%3C-2 ALIGN=MIDDLE  ALT=\"x%2B3%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );