document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137791>Question 1137791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please explain to me how I can solve these three questions?<BR>\n" );
document.write( "t - 7 < -15    <BR>\n" );
document.write( "-8 - b ≤ - 8<BR>\n" );
document.write( "c + 5.1 ≤ -2.4\r<BR>\n" );
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document.write( "Thank you very much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755685 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=755685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t - 7 < -15<BR>\n" );
document.write( "add 7 to both sides of the inequality to get t < -15 + 7<BR>\n" );
document.write( "combine like terms to get t < -8\r<BR>\n" );
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document.write( "-8 - b <= -8<BR>\n" );
document.write( "add 8 to both sides of the inequality to get -b <= 0<BR>\n" );
document.write( "multiply both sides of the inequality by -1 to get b >= 0\r<BR>\n" );
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document.write( "when you multiply or divide both sides of an inequality by a negative number, the inequality reverses.\r<BR>\n" );
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document.write( "c + 5.1 <= -2.4<BR>\n" );
document.write( "subtract 5.1 from both sides of the inequality to get c <= -2.4 - 5.1<BR>\n" );
document.write( "combine like terms to get c <= -7.5\r<BR>\n" );
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document.write( "you solve inequalities just like you solve equations with the exception that, if you multiply or divide the inequality by a negative number, the inequality reverses.\r<BR>\n" );
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document.write( "also, if your unknown variable is on the right and you want to make it on the left, then you need to reverse the inequality.\r<BR>\n" );
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document.write( "in your second problem, you could have solved it two ways.\r<BR>\n" );
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document.write( "the problem was -8 - b <= -8\r<BR>\n" );
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document.write( "i solved it above by adding 8 to both sides of the inequality to get -b <= -8 + 8 which resulted in -b <= 0.<BR>\n" );
document.write( "i then multiplied both sides of the inequality by -1 to get b >= 0.\r<BR>\n" );
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document.write( "the other way to solve it would have been add b to both sides of the inequality to get -8 <= b - 8.<BR>\n" );
document.write( "i then added 8 to both sides of the inequality to get 0 <= b.<BR>\n" );
document.write( "to switch sides, i then needed to reverse the inequality to get b >= 0.\r<BR>\n" );
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document.write( "here's a reference on solving inequalities you might find useful.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/algebra/inequality-solving.html\" target = \"_blank\">https://www.mathsisfun.com/algebra/inequality-solving.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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