document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204726>Question 1204726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the set of values  of  x for which   <BR>\n" );
document.write( "A . 3(2X+1)>5-2x<BR>\n" );
document.write( "B.2x*2-7X+3>0<BR>\n" );
document.write( "C..BOTH 3(2X+1)>5-2X AND 2X*2-7X+3>0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841174 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=841174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.<BR>\n" );
document.write( "3 * (2x + 1) > 5 - 2x<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "6x + 3 > 5 - 2x<BR>\n" );
document.write( "add 2x to both sides and subtract 3 from both sides to get:<BR>\n" );
document.write( "8x > 2/8 which becomes x > .25.\r<BR>\n" );
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document.write( "b.<BR>\n" );
document.write( "2x^2 - 7x + 3 > 0<BR>\n" );
document.write( "set it equal to 0 to get:<BR>\n" );
document.write( "2x^2 - 7x + 3 = 0<BR>\n" );
document.write( "factor to get:<BR>\n" );
document.write( "(2x-1) * (x-3) = 0<BR>\n" );
document.write( "zero points are x = .5 and x = 3<BR>\n" );
document.write( "2x^2 - 7x + 3 is less than zero between x = .5 and x = 3.<BR>\n" );
document.write( "it is greater than zero when x is less than .5 and x is greater than 3.\r<BR>\n" );
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document.write( "to satisfy  both inequalities, you hneed to have both x > .25 and x < .5 and x > 3.\r<BR>\n" );
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document.write( "your solution should be .25 < x < .5 or x > 3.\r<BR>\n" );
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document.write( "that can be seen in the following graph using desmos.com/calculator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/110502.jpg\">\r<BR>\n" );
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document.write( "the area on the graph that is not shaded is your region of feasibility.\r<BR>\n" );
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document.write( "let me know if you have any questions.\r<BR>\n" );
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document.write( "theo\r<BR>\n" );
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