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  • 10-05-2016
  • Mathematics
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The sum of two consecutive odd integers is at least 16

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apologiabiology
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  • 10-05-2016
odd integers are represented by 2n+1 where n is a whole number

consecutive odd are 2 apart so
they are 2n+1 and 2n+1+2

the sum of them is at least 16
2n+1+2n+1+2>16
4n+4>16
minus 4
4n>12
divide 4
n>3
sub back

2n+1 and 2n+3
2(3)+1 and 2(3)+3
6+1 and 6+3
7 and 9

they have to be at least 7 and 9
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