document.write( "Question 550068: 3/5 (3x-3)>9 the solution set is {x|x } simplify your answer \n" ); document.write( "
Algebra.Com's Answer #358392 by Edwin McCravy(20056) $\"\"$ $\"About$
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document.write( "             (3x-3) > 9\r\n" );
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document.write( "Multiply both sides by 5 to clear the fraction.\r\n" );
document.write( "(The  > symbol does not reverse when we multiply\r\n" );
document.write( "or divide both sides by a positive number)\r\n" );
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document.write( "        (5)·(3x-3) > (5)·9\r\n" );
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document.write( "            3(3x-3) > 45\r\n" );
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document.write( "             9x - 9 > 45\r\n" );
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document.write( "                 9x > 54\r\n" );
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document.write( "Divide both sides by 9.\r\n" );
document.write( "(The  > symbol does not reverse when we multiply\r\n" );
document.write( "or divide both sides by a positive number)\r\n" );
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document.write( "                 > \r\n" );
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document.write( "                 x > 6 \r\n" );
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document.write( "To write the solution set in set-builder notation:\r\n" );
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document.write( "             {x | x > 6}      \r\n" );
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document.write( "            0.4x + 6 ≤ 1.2x - 3 \r\n" );
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document.write( "Clear of decimals by multiplying through every term by 10              \r\n" );
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document.write( "  (10)·0.4x + (10)·6 ≤ (10)·1.2x - (10)·3\r\n" );
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document.write( "             4x + 60 ≤ 12x - 30\r\n" );
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document.write( "                  4x ≤ 12x - 90\r\n" );
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document.write( "                 -8x ≤ -90\r\n" );
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document.write( "We divide both sides by -8.  But when we multiply or \r\n" );
document.write( "divide both sides of an inequality by a negative number, \r\n" );
document.write( "the inequality symbol is reversed:\r\n" );
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document.write( "                  ≥ \r\n" );
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document.write( "                   x ≥ \r\n" );
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document.write( "                   x ≥ 11.25  \r\n" );
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document.write( "To write the solution set in set-builder notation:\r\n" );
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document.write( "                 {x | x ≥ 11.25}\r\n" );
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document.write( "------------------------------------------------------\r\n" );
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document.write( "                 x ≥  \r\n" );
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document.write( "Clear both fractions by multiplying both sides by -16.\r\n" );
document.write( "But when we multiply or divide both sides of an inequality \r\n" );
document.write( "by a negative number, the inequality symbol is reversed:\r\n" );
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document.write( "       (-16)·x ≥ (-16)·\r\n" );
document.write( "                     14x ≤ 3\r\n" );
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document.write( "Divide both sides by 14.\r\n" );
document.write( "(The  > symbol does not reverse when we multiply\r\n" );
document.write( "or divide both sides by a positive number)\r\n" );
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document.write( "                      ≤ \r\n" );
document.write( "                       x ≤     \r\n" );
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document.write( "To write the solution set in set-builder notation:\r\n" );
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document.write( "                     {x | x ≤ }\r\n" );
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document.write( "Edwin
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