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Q: How do you prove that an integer is an odd integer?

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The statement is not true. Disprove by counter-example: 3 is an integer and 5 is an integer, their product is 15 which is odd.

It cannot be done. The basic rules of math. odd integer plus odd integer = even integer. odd integer plus even integer = odd integer. Always. odd integer plus odd integer plus odd integer = odd integer. Always.

The product of an odd and even number will always have 2 as a factor. Therefore, it will always be even.

9

33 The 17th odd positive integer is

even integer.

Yes.

It is the square of an odd integer.

The next odd integer after 40 is 41

No. For example, 5 is an odd integer and 3 is an odd integer, yet 5/3 is neither an integer nor odd (as odd numbers are, by definition, integers).

The number 71 is an integer, an odd integer, a positive odd integer, and also a prime number.

Only integers are even or odd. We do not call fractions, irrational numbers, imaginary numbers, and so on either even or odd. If a decimal is equal to an integer (for example 24.0 is equal to 24), then it is even if the integer is even or odd if the integer is odd. If a decimal is not equal to an integer (for example 24.1 is not an integer), then it is neither even nor odd.

An integer is even or odd can be decided by checking its divisibility by 2 if it is divided by 2 it is even and if not then it is odd

let x = any integer then (2x + 1) = any odd integer

An integer is odd if and only if it is not divisible by two.

An odd number is an integer of the form 2*n+1 where n is an integer. Equivalently, an odd number is an integer which leaver a remainder of 1 when divided by 2.

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

The sum of an odd and an even number is odd. Any odd number can be expressed as 2n + 1 (for some integer "n"). Any even number can be expressed as 2m (for another integer, "m"). The sum of the two is 2(m+n) + 1. Since the expression in parentheses is an integer, multiplying it by 2 gives you an even number. Adding 1 makes the entire expression odd.

If n is an odd integer then the next two consecutive odd integers are n+2 and n+4.

It is quite easy to prove this using algebra. Suppose x is the smaller of the two odd integer. The fact that x is odd means that it is of the form 2m + 1 where m is an integer. [m integer => 2m is an even integer => 2m + 1 is odd] The next odd integer will be x + 2, which is (2m + 1) + 2 = 2m + 3 The sum of these two consecutive odd integers is, therefore, 2m + 1 + 2m + 3 = 4m + 4 = 4(m + 1) Since m is an integer, m+1 is an integer and so 4(m + 1) represents a factorisation of the answer which implies that 4 is a factor of the sum. In other words, the sum is a multiple of 4.

Yes, it is.

Odd.

Only integers are even or odd. If a decimal is equal to an integer (for example 24.0 is equal to 24), then it can be even or odd. If a decimal is not equal to an integer (for example, 24.1 is not an integer), then it is neither even nor odd.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.

n + 1