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Assuming that the question is in the context of the operation "addition",

The set of odd numbers is not closed under addition. That is to say, if x and y are members of the set (x and y are odd) then x+y not odd and so not a member of the set.

There is no identity element in the group such that x+i = i+x = x for all x in the group. The identity element under addition of integers is zero which is not a member of the set of odd numbers.

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Q: Give two reason for the set of odd integers is not a group?

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find the two consecutive odd integers with a sum of 152

The sum of the first eleven positive odd integers is 121.

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Those three odd integers are 43, 45, and 47.

There are no such answers. The sum of even numbers is even. The sum of odd numbers could be even, but the sum of three consecutive odd numbers is always odd. One could swap the questions to get potentially answerable questions: Sum of 3 consecutive EVEN integers = 150 48 + 50 + 52 = 150 unfortunately, we can already see that if we were to make these odd integers (add 1 to each), we would get 153, not 151. Sum of 3 consecutive ODD integers = 151 49 + 51 + 53 = 153 47 + 49 + 51 = 147 We can see that, whenever we slide our three consecutive integers up one, we raise the value of the sum up 3, and if we jump from odd to odd, or even to even, we raise each integer by 2, so we raise the sum by 6.

Related questions

The sum of any three consecutive odd integers is going to give an odd result. It is impossible for the sum of an odd number of odd integers to equal an even number.

Because the set is not closed under addition. If x and y are odd, then x + y is not odd.

All integers are not odd.

Are not all integers spaced out to be odd then even then odd then even etc (eg 1,2,3,4,5,6,7,8,9,10, etc) and therefore there is no such thing as two consecutive odd integers.

find the two consecutive odd integers with a sum of 152

The two odd integers are 57 and 59.

The concept of "even" and "odd" applies to integers, not to fractions in general.The concept of "even" and "odd" applies to integers, not to fractions in general.The concept of "even" and "odd" applies to integers, not to fractions in general.The concept of "even" and "odd" applies to integers, not to fractions in general.

1.3 is a fraction. The concept of odd and even applies only to integers.1.3 is a fraction. The concept of odd and even applies only to integers.1.3 is a fraction. The concept of odd and even applies only to integers.1.3 is a fraction. The concept of odd and even applies only to integers.

Consecutive odd and even integers are both 2 apart. That is the reason we use the same denotation to represent them in an equation. x and x+2

17 (odd integer) + 19 (odd integer) = 36 17 and 19 are consecutive odd integers.

The integers are 37 and 39.

The integers are 67, 69 and 71.

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