document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151628>Question 1151628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "How do I know which type of interval notation to use to answer a question?\r<BR>\n" );
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document.write( "Whether is be ( , ), ( , ] or [ , ). Are their any other types of intervals I am missing?\r<BR>\n" );
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document.write( "Also when answering a question like this how do I know which number or infinity sign to put where? \r<BR>\n" );
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document.write( "For example....\r<BR>\n" );
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document.write( "3(11x+14)+7 is greater than 19+3x\r<BR>\n" );
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document.write( "I put (-oo,-1), but the correct answer was (-1,oo), and I did have that answer in at one point but it said that it was incorrect since I had it in the interval notation of (-1,oo] instead. So I had the right answer at one point just in the wrong interval notation so it was still wrong. \r<BR>\n" );
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document.write( "Thank you. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773442 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2811x%2B14%29%2B7+%3E+19%2B3x ALIGN=MIDDLE  ALT=\"3%2811x%2B14%29%2B7+%3E+19%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33x%2B42%2B7+%3E+19%2B3x ALIGN=MIDDLE  ALT=\"33x%2B42%2B7+%3E+19%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33x-3x+%3E+19-42-7 ALIGN=MIDDLE  ALT=\"33x-3x+%3E+19-42-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x+%3E+-30 ALIGN=MIDDLE  ALT=\"30x+%3E+-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+-1 ALIGN=MIDDLE  ALT=\"x+%3E+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, solution is: all <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > greater then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > included and you cannot use [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "so, interval is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "number line:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://ibb.co/PD27VHk\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/PD27VHk/MSP76.gif\" alt=\"MSP76\" border=\"0\"></a>\r<BR>\n" );
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document.write( "In \"Interval Notation\" we just write the beginning and ending numbers of the interval, and use:\r<BR>\n" );
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document.write( "[ ] a square bracket when we want to include the end value, or<BR>\n" );
document.write( "( ) a round bracket when we don't\r<BR>\n" );
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document.write( "Example: (5, 12]<BR>\n" );
document.write( "Means from 5 to 12, do not include 5, but do include 12\r<BR>\n" );
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document.write( "The terms \"Open\" and \"Closed\" are sometimes used when the end value is included or not:\r<BR>\n" );
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document.write( "(a, b)	 	a < x < b	 	an open interval<BR>\n" );
document.write( "[a, b)	 	a ≤ x < b	 	closed on left, open on right<BR>\n" );
document.write( "(a, b]	 	a < x ≤ b	 	open on left, closed on right<BR>\n" );
document.write( "[a, b]	 	a ≤ x ≤ b	 	a closed interval\r<BR>\n" );
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document.write( "These are intervals of finite length. We also have intervals of infinite length\r<BR>\n" );
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document.write( "We often use Infinity in interval notation.\r<BR>\n" );
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document.write( "Infinity is not a real number, in this case it just means \"continuing on ...\"\r<BR>\n" );
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document.write( "Example: x greater than, or equal to, 3:<BR>\n" );
document.write( "[3, +∞)\r<BR>\n" );
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document.write( "There are 4 possible \"infinite ends\":\r<BR>\n" );
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document.write( "Interval	 	Inequality	 	 <BR>\n" );
document.write( "(a, +∞)	 	x > a	 	\"greater than a\"<BR>\n" );
document.write( "[a, +∞)	 	x ≥ a	 	\"greater than or equal to a\"<BR>\n" );
document.write( "(-∞, a)	 	x < a	 	\"less than a\"<BR>\n" );
document.write( "(-∞, a]	 	x ≤ a	 	\"less than or equal to a\"<BR>\n" );
document.write( "We could even show no limits by using this notation: (-∞, +∞)\r<BR>\n" );
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