document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1755>Question 1755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need how to solve and verify the solutions:<BR>\n" );
document.write( "1. r+7>-5<BR>\n" );
document.write( "2. -35 +6n<7n<BR>\n" );
document.write( "3. -14+p>4-(-2p)<BR>\n" );
document.write( "4. x-5>-3/3<BR>\n" );
document.write( "5. 4(n-1)<7n+8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to answer you, I will have to assume that you understand straight line graphs and you can sketch them from \"y=mx+c\"...I am English, and i assume you are American so i hope you know what i mean by y=mx + c. If not, we are stuck.\r<BR>\n" );
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document.write( "Anyway..inequalities are very easy...no sweat. Treat them just like normal equations. The ONLY difference is when you have to multiply or divide by a negative number...THEN the inequality sign changes round.\r<BR>\n" );
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document.write( "so, number 1:\r<BR>\n" );
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document.write( "let us do 2 equations. First r+7=-5\r<BR>\n" );
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document.write( "1. move the 7 to the other side, gives r = -12. Done!\r<BR>\n" );
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document.write( "Now, lets do, r+7>-5\r<BR>\n" );
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document.write( "1. move the 7 to the other side, gives r > -12. Done!\r<BR>\n" );
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document.write( "Easy :-)\r<BR>\n" );
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document.write( "OK, second equation is -35+6n < 7n\r<BR>\n" );
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document.write( "First, move the 6n to the other side (by subtracting 6n). So, we then have -35 < n. The n (or more formally 1n) came from 7n - 6n\r<BR>\n" );
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document.write( "So this is the answer....n > -35...all i have done is write the whole of \"-35 < n\" the other way round...no maths.\r<BR>\n" );
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document.write( "I shall leave you with 3 and 4.\r<BR>\n" );
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document.write( "As for verifying...draw a graph of y=-12 (or r=-12, whatever). This line is where y (or r) EQUALS -12. You want everywhere where y (or r) is GREATER than -12... so shade everywhere where that is true.\r<BR>\n" );
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document.write( "Similarly, for number 2, draw the graph (straight line) of n=-35. Then shade the region of the graph where n is GREATER than -35...\r<BR>\n" );
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document.write( "Hope this helps<BR>\n" );
document.write( "Jon<BR>\n" );
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