document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190203>Question 1190203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A. Translate. (Do not simplify or solve.)<BR>\n" );
document.write( "Eight more than k exceeds 23.\r<BR>\n" );
document.write( "\n" );
document.write( "B. Solve. (Simplify your answer completely.)\r<BR>\n" );
document.write( "\n" );
document.write( "C. Write the solution in interval notation.\r<BR>\n" );
document.write( "\n" );
document.write( "D.Graph on the number line.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821796 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=821796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Part A\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+%2B+8+%3E+23 ALIGN=MIDDLE  ALT=\"k+%2B+8+%3E+23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The \"k+8\" part represents \"8 more than k\". <BR>\n" );
document.write( "Whatever k is, add on 8. This sum exceeds 23, meaning it's larger than 23.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "===================================================<BR>\n" );
document.write( "Part B\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To isolate k, we subtract 8 from both sides. We solve the inequality just like it was an equation. The inequality sign won't flip.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B8+%3E+23 ALIGN=MIDDLE  ALT=\"k%2B8+%3E+23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B8-8+%3E+23-8 ALIGN=MIDDLE  ALT=\"k%2B8-8+%3E+23-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+%3E+15 ALIGN=MIDDLE  ALT=\"k+%3E+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the answer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "===================================================\r<BR>\n" );
document.write( "\n" );
document.write( "Part C\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The result of part B was k > 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is the same as 15 < k. I swapped both sides and flipped the inequality sign.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can further say 15 < k < infinity to tell us that the interval starts at 15 and \"ends\" at positive infinity. <BR>\n" );
document.write( "I put \"ends\" in quotes because the interval doesn't really end of course. It goes on forever to the right.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We aren't including either endpoint, so we use parenthesis for each endpoint.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: (15, infinity)<BR>\n" );
document.write( "Use the infinity symbol in place of the word if necessary.\r<BR>\n" );
document.write( "\n" );
document.write( "===================================================<BR>\n" );
document.write( "Part D\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Follow these steps<ol><li>Draw a number line. </li><li>Plot an open hole at 15.</li><li>Shade to the right. </li></ol>This visually describes every value of k larger than 15. <BR>\n" );
document.write( "The value k = 15 itself is not part of the solution set. <BR>\n" );
document.write( "This is because k > 15 would update to 15 > 15 which is false. <BR>\n" );
document.write( "No number is larger than itself. This is why we need the open hole at the endpoint.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );