document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038928>Question 1038928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having some trouble with this problem:\r<BR>\n" );
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document.write( "Solve the inequality x^2 less than or equal to 2x and write the solution set in interval notation. 	<BR>\n" );
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document.write( "A.	(–infinity, 0]  U [2,infinity)<BR>\n" );
document.write( "B.	[0, 2] <BR>\n" );
document.write( "C.	(–infinity, 2]<BR>\n" );
document.write( "D.	(–infinity, 2] U [0, infinity)\r<BR>\n" );
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document.write( "any help will be greatly appreciated, thank you!\r<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 #653695 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=653695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> selection B.\r<BR>\n" );
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document.write( "here's why:\r<BR>\n" );
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document.write( "start with x^2 <= 2x\r<BR>\n" );
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document.write( "subtract 2x from both sides of the equation to get x^2 -2x <= 0\r<BR>\n" );
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document.write( "solve for x^2 - 2x = 0 to get x = 0 or x = 2.\r<BR>\n" );
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document.write( "analyze the function when x < 0 and when x > 2 and when x between 0 and 2.\r<BR>\n" );
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document.write( "you will find that the function is positive when x < 0 and when x > 2 and that the function is negative when x is between 0 and 2.\r<BR>\n" );
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document.write( "therefore x have to be greater than or equal to 0 and less than or equal to 2.\r<BR>\n" );
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document.write( "in interval notation, that would be [0,2].\r<BR>\n" );
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document.write( "you can graph the function of x^2 - 2x = y and you will see that the graph is positive when x < 0 and that the graph is positive when x > 2 and that the graph is less than or equal to 0 when x is greater than or equal to 0 and less than or equal to 2.\r<BR>\n" );
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document.write( "here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/062203.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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