document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367035>Question 367035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, \r<BR>\n" );
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document.write( "Please help me solve this problem, thank you in advance.\r<BR>\n" );
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document.write( "3x + 7 < 4 with x =-.5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261750 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=261750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if x = -.5, then substitute -.5 for x in the equation of 3x + 7 < 4 to get:\r<BR>\n" );
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document.write( "3 * (-.5) + 7 < 4\r<BR>\n" );
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document.write( "simplify by performing the indicated operations to get:\r<BR>\n" );
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document.write( "-1.5 + 7 < 4\r<BR>\n" );
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document.write( "simplify by combining like terms to get:\r<BR>\n" );
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document.write( "5.5 < 4.\r<BR>\n" );
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document.write( "since this is false, x = -.5 does not satisfy the requirements of this equation.\r<BR>\n" );
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document.write( "to solve this equation, do the following:\r<BR>\n" );
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document.write( "3x + 7 < 4\r<BR>\n" );
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document.write( "subtract 7 from both sides of the equation to get:\r<BR>\n" );
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document.write( "3x < -3\r<BR>\n" );
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document.write( "divide both sides of this equation by 3 to get:\r<BR>\n" );
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document.write( "x < -1\r<BR>\n" );
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document.write( "x = -.5 is NOT less than -1, so x = -.5 is outside the boundaries of a correct solution to this equation.\r<BR>\n" );
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document.write( "to determine if the results of the analysis are accurate, do the following:\r<BR>\n" );
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document.write( "pick a value of x > -1<BR>\n" );
document.write( "pick a value of x = -1<BR>\n" );
document.write( "pick a value of x < -1\r<BR>\n" );
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document.write( "x = -.5 is > -1 so that's a good start to show that the equation is false when you use that value, as we found out earlier.\r<BR>\n" );
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document.write( "when x = -1, the equation becomes 3*(-1) + 7 < 4\r<BR>\n" );
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document.write( "solve this to get -3 + 7 < 4 which becomes 4 < 4 which is not true.\r<BR>\n" );
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document.write( "this is good because x = -1 is not smaller than -1 and the result  should be false.\r<BR>\n" );
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document.write( "pick a value of x < -1.\r<BR>\n" );
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document.write( "try x = -1.5 which is smaller than -1.\r<BR>\n" );
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document.write( "when x = -1.5, the equation of 3*x + 7 < 4 becomes:\r<BR>\n" );
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document.write( "3*(-1.5) + 7 < 4 which becomes -4.5 + 7 < 4 which becomes 2.5 < 4 which is true.\r<BR>\n" );
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document.write( "since it should be true because x is smaller than -1, then the answer to your equation is good.\r<BR>\n" );
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document.write( "the equation is true when x < -1.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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