document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174713>Question 1174713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line.\r<BR>\n" );
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document.write( "8(x + 3) ≥ 7(x - 2) + x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800172 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your inequality is:\r<BR>\n" );
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document.write( "8x + 24 >= 7x - 14 + x\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "8x + 24 >= 8x - 14\r<BR>\n" );
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document.write( "subtract 8x from both sides of the inequality to get:\r<BR>\n" );
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document.write( "24 >= -14.\r<BR>\n" );
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document.write( "since x dropped out of the inequality, this is true regardless of the value of x.\r<BR>\n" );
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document.write( "the solution is the set of all x such that minus infinity < x < plus infinity.\r<BR>\n" );
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document.write( "in interval notation, i believe the answer will be x = (-infinity, plus infinity)\r<BR>\n" );
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document.write( "on a number line, i believe the answer will be:\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
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document.write( "             minus infinity                            plus infinity\r\n" );
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document.write( "here's a reference on interval notation.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation\" target = \"_blank\">https://www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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