document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144279>Question 144279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality? Write an inequality and provide a value that may or may not be a solution to the inequality. \r<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 #105045 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b> How do you know if a value is a solution for an inequality?</b> \r<BR>\n" );
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document.write( "   You substitute the value in question for the variable in the inequality then do any necessary arithmetic.  If the result is a true statement, then the value was an element of the solution set.  If the result is false, the value is not an element of the solution set.\r<BR>\n" );
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document.write( "<b> How is this different from determining if a value is a solution to an equation?</b> \r<BR>\n" );
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document.write( "   Doesn't differ at all in practice.  You substitute the value and then check to see if you get a true result.\r<BR>\n" );
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document.write( "<b> If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality?</b> \r<BR>\n" );
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document.write( "   Only when you use an inequality sign that includes 'or equal'  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C3 ALIGN=MIDDLE  ALT=\"x%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > have no solution set elements in common, whereas <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=3 ALIGN=MIDDLE  ALT=\"x%3C=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > both have the value 3 as a solution set element.\r<BR>\n" );
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document.write( "<b> Write an inequality and provide a value that may or may not be a solution to the inequality.</b>   You should be able to handle this part.<BR>\n" );
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