document.write( "Question 1209292: Solve the inequality
\n" ); document.write( "(3 - z)/(z + 1) \ge 2 + 1/(z - 7).
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Algebra.Com's Answer #848108 by mccravyedwin(408) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Draw the graph of the left side and the right side:\r\n" );
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document.write( "The exact solutions are ugly.\r\n" );
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document.write( "I found the approximate solutions of their points of\r\n" );
document.write( "intersection with a TI-84. They are \r\n" );
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document.write( "0.4043040632... and 6.595695937...\r\n" );
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document.write( "There are asymptotes at -1 and 7.\r\n" );
document.write( "The red curve is the graph of the left side.\r\n" );
document.write( "The green curve is the graph of the right side.\r\n" );
document.write( "The blue vertical lines are the asymptotes.\r\n" );
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document.write( "The red curve is above or intersecting the green curve\r\n" );
document.write( "between the asymptote at -1 and the smaller solution.\r\n" );
document.write( "So that part is the interval:\r\n" );
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document.write( "(-1, 0.4043040632...]\r\n" );
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document.write( "The red curve is above or intersecting the green curve\r\n" );
document.write( "again between the larger solution and the asymptote at 7\r\n" );
document.write( "So that part is the interval:\r\n" );
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document.write( "[6.595695937..., 7)\r\n" );
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document.write( "So the solution is \r\n" );
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document.write( "(-1, 0.4043040632...] U [6.595695937..., 7)\r\n" );
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document.write( "Edwin

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