document.write( "Question 1137484: kindly solve these question:
\n" ); document.write( "solve the inequality and represent the solution on number line:
\n" ); document.write( "1: (x+8)/(12)<(x-1)/(10)
\n" ); document.write( "2: (2x)/(x+2)>=(x)/(x-2)
\n" ); document.write( "3: (x^2-x+1)>1
\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #755355 by ikleyn(52852) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1:   < \r\n" );
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document.write( "    Multiply both sides of the inequality by 120 to get\r\n" );
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document.write( "    10*(x+8) < 12*(x-1)\r\n" );
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document.write( "    10x + 80 < 12x - 12\r\n" );
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document.write( "    80 + 12 < 12x - 10x\r\n" );
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document.write( "    92 < 2x\r\n" );
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document.write( "     Divide both sides by 2 to get the  ANSWER :  x > 46.\r\n" );
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document.write( "3.  x^2 - x + 1 > 1\r\n" );
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document.write( "    It is equivalent to\r\n" );
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document.write( "    x^2 - x > 0\r\n" );
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document.write( "    x*(x-1) > 0\r\n" );
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document.write( "    Case a):  both factors are positive :  x > 0 and x-1 > 0.\r\n" );
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document.write( "              The set of solutions is  { x > 1}.\r\n" );
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document.write( "    Case b):  both factors are negative :  x < 0  and x-1 < 0.\r\n" );
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document.write( "              The solution set is  x < 0.\r\n" );
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document.write( "ANSWER.  The solution set for the given inequality is the union of two semi-infinite intervals  (,) U (,).\r\n" );
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