document.write( "Question 23772: How do i find the solution set? \r
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Algebra.Com's Answer #12541 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
How do i find the solution set? \r\n" );
document.write( "6(r-9)+3 > 7(r+3)-22\r\n" );
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document.write( "Solve it just like an equation with one exception:\r\n" );
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document.write( "6(r - 9) + 3 > 7(r + 3) - 22\r\n" );
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document.write( " 6r - 54 + 3 > 7r + 21 - 22\r\n" );
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document.write( "     6r - 51 > 7r - 1\r\n" );
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document.write( "     6r - 7r > 51 - 1\r\n" );
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document.write( "         -1r > 50\r\n" );
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document.write( "Up to here the proble is exactly the same as if there\r\n" );
document.write( "had been an \" = \" instead of a \" > \"\r\n" );
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document.write( "Her is where it is different.  When you divide (or multiply)\r\n" );
document.write( "an inequality by a negative number, you must change the \r\n" );
document.write( "direction of the inequality. \r\n" );
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document.write( "We need to divide both sides by -1, the coefficient of r, so we must\r\n" );
document.write( "change the \" > \" to \" < \"\r\n" );
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document.write( "-1r    50\r\n" );
document.write( "——— < ————\r\n" );
document.write( "-1     -1\r\n" );
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document.write( "  r < -50\r\n" );
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document.write( "You can either express this in set builder notation as\r\n" );
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document.write( "{r|r is real and r < -50}\r\n" );
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document.write( "or in interval notation as  (-oo, -50)\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com

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