document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052674>Question 1052674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality and graph the solution set on a number line. Be sure to use closed dots or open circles. Do not use parentheses or brackets. \r<BR>\n" );
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document.write( "25-x^2 > or equal to  0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668119 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=668119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is 25 - x^2 >= 0\r<BR>\n" );
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document.write( "the easiest way to solve these is to make the inequality an equation and solve for the equation and then determine the intervals for which the inequality is true.\r<BR>\n" );
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document.write( "set 25 - x^2 = 0.\r<BR>\n" );
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document.write( "add x^2 to both sides of the equation to get 25 = x^2.\r<BR>\n" );
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document.write( "solve for x to get x = plus or minus 5.\r<BR>\n" );
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document.write( "now look at the possible intervals created.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "x < -5<BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( "x > -5 and < 5<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "x > 5\r<BR>\n" );
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document.write( "evaluate the equation in each of these intervals.\r<BR>\n" );
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document.write( "i chose the following values.\r<BR>\n" );
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document.write( "x = -6 for when x < -5<BR>\n" );
document.write( "x = -5 for when x = -5<BR>\n" );
document.write( "x = 0 for when x > -5 and < 5<BR>\n" );
document.write( "x = 5 for when x = 5<BR>\n" );
document.write( "x = 6 for when x > 5\r<BR>\n" );
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document.write( "when x = -6, 25 - x^2 becomes 25 - 36 which is less than 0.<BR>\n" );
document.write( "when x = -5, 25 - x^2 becomes 25 - 25 which is equal to 0.<BR>\n" );
document.write( "when x = 0, 25 - x^2 becomes 25 - 0 which is greater than 0.<BR>\n" );
document.write( "when x = 5, 25 - x^2 becomes 25 - 25 which is equal to 0.<BR>\n" );
document.write( "when x = 6, 25 - x^2 becomes 25 - 36 which is less than 0.\r<BR>\n" );
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document.write( "the problems states that 25 - x^2 is less than 0.\r<BR>\n" );
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document.write( "that happens when x <= -5 and when x >= 5.\r<BR>\n" );
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document.write( "those are your intervals when the stated inequality is true.\r<BR>\n" );
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document.write( "the graph of the equation is shown below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/101405.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "your can see from the graph that 25 - x^2 <= 0 only when x <= -5 and when x >= 5.\r<BR>\n" );
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document.write( "your solution on the number line would look something like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/101404.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "              </SPAN>\n" );
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