document.write( "Question 1036056: If f(x) is a linear function such that f(2) ≤ f(3), f(4) ≥ f(5), and f(6)=10.
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Algebra.Com's Answer #650639 by Edwin McCravy(20066)\"\" \"About 
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document.write( "f(2) ≤ f(3), f(4) ≥ f(5), and f(6)=10\r\n" );
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document.write( "Since f(x) is a linear function, there exist numbers m\r\n" );
document.write( "and b such that f(x) = mx+b\r\n" );
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document.write( "   2m+b ≤ 3m+b,      and 4m+b ≥ 5m+b,  and 6m+b = 10\r\n" );
document.write( "                                              b = 10-6m\r\n" );
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document.write( "Substituting 10-6m for b\r\n" );
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document.write( "2m+10-6m ≤ 3m+10-6m, and 4m+10-6m ≥ 5m+10-6m\r\n" );
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document.write( "  -4m+10 ≤ -3m+10,   and   -2m+10 ≥ -m+b\r\n" );
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document.write( "      -m ≤ 0,        and       -m ≥ 0\r\n" );
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document.write( "       m ≥ 0         and        m ≤ 0\r\n" );
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document.write( "The only way both can be true is for slope m = 0 \r\n" );
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document.write( "Flat lines have slope 0, and ONLY flat lines\r\n" );
document.write( "have slope 0.  Thus \"f\" is a flat line.\r\n" );
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document.write( "Edwin
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