document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172851>Question 1172851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in compound inequalities, say you were given a disjunction inequality that read: -y +5 ≥ 9 or 3y + 4 < -5.  when solved, you’d get: y ≤ -4 or y < -3.  why would you only write one of the inequalities as your final answer, rather than one since it’s connected by, “or”?  as with a conjunction inequality, if they gave you for example, k > 1 and k > 5 (both signs are facing the same direction), why would you only write one of the inequalities?  if there’s a rule that corresponds with this, please tell me.  what/when does the rule apply to (if any)?  does this only happen in conjunction inequalities if both signs are facing the same direction and one of the inequalities can “fit” under the other?  fit meaning that (referring back to the previous example) all numbers greater than 1 aren’t all greater than 0, but all numbers greater than 5 are greater than 1?  please respond.  i have a math test on this soon, thank you 😄 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797989 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "Shortly speaking, when you have two inequalities\r\n" );
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document.write( "    y <= -4   OR   y < -3\r\n" );
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document.write( "connected with the service word  \" OR \",  it means that  the solution \" y \" belongs \r\n" );
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document.write( "to the union of the sets   (-oo,-4]  and  (-oo,-3).\r\n" );
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document.write( "Of these two sets, one is embedded to another. THEREFORE, their union is  (-oo,-3),  the larger of the two sets.\r\n" );
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document.write( "In other case, when you have two inequalities\r\n" );
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document.write( "    k > 1   AND   k > 5\r\n" );
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document.write( "connected with the service word  \" AND \",  it means that  the solution \" k \" belongs \r\n" );
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document.write( "to the INTERSECTION of the sets   (1,oo)  and  (5,oo).\r\n" );
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document.write( "Of these two sets, one is embedded to another. THEREFORE, their intersection is  (5,oo),  the smaller of the two sets.\r\n" );
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document.write( "So, the difference between these cases  is in the SERVICE WORD  \"OR\"  or  \"AND\" used.\r\n" );
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document.write( "You should ALWAYS look ATTENTIVELY on what service word is used in your case,\r\n" );
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document.write( "and then take EITHER the union OR the intersection of separate sets, appropriately.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "It is &nbsp;THE &nbsp;SAME &nbsp;explanation as you get from other tutor, &nbsp;but expressed in other words and in the shorter form.\r<BR>\n" );
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document.write( "---------------\r<BR>\n" );
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document.write( "See the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Inequalities/Solving-systems-of-linear-inequalities-in-one-unknown.lesson>Solving systems of linear inequalities in one unknown</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Inequalities/Solving-compound-inequalities.lesson>Solving compound inequalities</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Do not miss other relevant lessons on inequalities - the links are at the end of the referred lessons.\r<BR>\n" );
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document.write( ". . . . . . . \r<BR>\n" );
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document.write( "Let us know about the results of your test.\r<BR>\n" );
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document.write( "Come again to this forum soon with your questions to learn something new (!)\r<BR>\n" );
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document.write( "Do not postpone your visit and your questions to the last day . . . \r<BR>\n" );
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document.write( " </SPAN>\n" );
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