document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51252>Question 51252</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1)solve the inequality 2\x-10\<3 and express the solution as a interval.\r<BR>\n" );
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document.write( "2)solve the inequality  (x+1)(x-6)<0 and express the solution using interval notation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34222 by </B><A HREF=/tutors/aboutme.mpl?userid=THANApHD><B>THANApHD(104)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=THANApHD><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=THANApHD><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=34222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2|x-10|<3\r<BR>\n" );
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document.write( "so   <BR>\n" );
document.write( "2(x-10)<3      or     -2(x-10)<3<BR>\n" );
document.write( "    x  < 23/2    or          x > (-17)/-2<BR>\n" );
document.write( "                             x >  17/2\r<BR>\n" );
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document.write( "    so interval notation will be     (17/2,23/2)<BR>\n" );
document.write( "                                     =(8.5,11.5) \r<BR>\n" );
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document.write( "2.    here either one of the compound must be a negative and other must be positive.\r<BR>\n" );
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document.write( "             if ( x+1)<0 then    (x-6)>0    ---- (1)<BR>\n" );
document.write( "           or if ( x+1)>0 then    (x-6)<0   ----  (2)<BR>\n" );
document.write( " cuz to gat a negative as a product of two numbers, the two numbers form should be like P*N or N*P\r<BR>\n" );
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document.write( "      in first case,    x+1<0    and     x-6>0<BR>\n" );
document.write( "                         x<-1    and       x>6\r<BR>\n" );
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document.write( "              so the interval notation will be  (-**,-1)(6,**)   \r<BR>\n" );
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document.write( "              **- infinity\r<BR>\n" );
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document.write( "      second case       x+1>0     and    x-6<0<BR>\n" );
document.write( "                          x>-1    and      x<6\r<BR>\n" );
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document.write( "              so the interval notaion will be    (-1,6)\r<BR>\n" );
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document.write( "          so when we combine these two stuffs we get <BR>\n" );
document.write( "                        (-**,-1)(-1,6)(6,**)               <BR>\n" );
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