document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033233>Question 1033233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is inequalities, <BR>\n" );
document.write( "Question: The  maximum speed limit for a school bus is 55 mph. Write and solve an inequality that represents the number of hours it takes to travel 165 miles in a school bus.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647857 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=647857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.\r<BR>\n" );
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document.write( "when rate = 55 and distance = 165, the formula becomes 55 * time = 165.<BR>\n" );
document.write( "solve for time to get time = 165 / 55 = 3 hours.\r<BR>\n" );
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document.write( "at anything less than 55, like 50, the formula becomes 50 * time = 165.<BR>\n" );
document.write( "solve for time to get time = 165 / 50 = 3.3 hours.\r<BR>\n" );
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document.write( "what this says is, that if you reduce the speed below 55 miles per hours, the time it takes will be longer.\r<BR>\n" );
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document.write( "how to write this in an equality?\r<BR>\n" );
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document.write( "start with rate * time = distance<BR>\n" );
document.write( "solve for rate to get rate = distance / time.<BR>\n" );
document.write( "you are given that rate <= 55.<BR>\n" );
document.write( "this means that distance / time <= 55, because rate = distance / time.<BR>\n" );
document.write( "multiply both sides of this equation by time and divide both sides of this equation by 55 to get distance / 55 <= time.<BR>\n" );
document.write( "this is the same as time >= distance / 55.<BR>\n" );
document.write( "since distance = 165, you get time >= 165 / 55.<BR>\n" );
document.write( "simplify this to get time >= 3 hours.\r<BR>\n" );
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document.write( "how do you get time >= distance / 55 from distance / 55 <= time.<BR>\n" );
document.write( "here's how.<BR>\n" );
document.write( "start with distance / 55 <= time.<BR>\n" );
document.write( "subtract time from both sides of the equation to get distance / 55 - time <= 0<BR>\n" );
document.write( "subtract distance / 55 from both sides of the equation to get -time <= -distance / 55.<BR>\n" );
document.write( "multiply both sides of this equation by -1 to get time >= distance / 55.<BR>\n" );
document.write( "the inequality is reversed, because .....<BR>\n" );
document.write( "when you multiply or divide both sides of an inequality by a negative number, the inequality is reversed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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