document.write( "Question 957372: 5<=2x-3<3 \n" ); document.write( "
Algebra.Com's Answer #585010 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "  5 ≤ 2x-3 <  3\r\n" );
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document.write( "There is no solution because the 5 on the left is NOT less than \r\n" );
document.write( "or equal to the 3 on the right.\r\n" );
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document.write( "Maybe the 3 on the right was a typo and should have been a 7 \r\n" );
document.write( "instead. Then it would have a solution:\r\n" );
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document.write( "We solve for x in the middle\r\n" );
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document.write( "  5 ≤ 2x-3 <  7   <-We add +3 to all three sides to get rid of the -3\r\n" );
document.write( " +3     +3 < +3\r\n" );
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document.write( "  8 ≤ 2x   < 10   <-We divide all three sides by 2 to get rid of the 2\r\n" );
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document.write( "8/2 ≤ 2x/2 < 10/2\r\n" );
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document.write( "  4 ≤  x   <  5\r\n" );
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document.write( "Sometimes that is abbreviated as [4,5),\r\n" );
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document.write( "The bracket [ on the left means there is a ≤\r\n" );
document.write( "between the 4 and the understood x.\r\n" );
document.write( "The parentheses ) on the right means there\r\n" );
document.write( "is a < between the understood x and and the 5. \r\n" );
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document.write( "But the problem stated has NO SOLUTION.\r\n" );
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document.write( "Edwin
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