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Q: The product of two integers is positive. when is this statement true?

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Mathematical induction is just a way of proving a statement to be true for all positive integers: prove the statement to be true about 1; then assume it to be true for a generic integer x, and prove it to be true for x + 1; it therefore must be true for all positive integers.

That's a true statement. Another true statement is: All integers are rational numbers.

That's a true statement. Another true statement is: All integers are rational numbers.

It is not true.

They are integers.

That is false. This type of statement is only true for prime numbers, not for compound numbers such as 6. Counterexample: 2 x 3 = 6

No, integers can be positive or negative.

No. It's not true for n=2, where 14n - 1 = 28 - 1 = 27, which is not

No, integers are positive and negative whole numbers

False - if the sentence is meant to be exhaustive. Integers can be positive or negative OR ZERO.

The statement is false.

If a conditional statement is true then its contra-positive is also true.

real number

It is true.

Yes, it is true.

No, that is not true.

No.

This statement is true because 1 is a factor of any 2 positive integers and so is always a common factor and since it is the smallest or lowest positive integer, it is always the lowest common factor.

True. The product of 21 negative numbers will be negative.

They are positive integers with only two factors.

True.

Yes, it is.

Negation is the opposite of something actual or positive. The negation of a true statement will be false. The negation of a false statement will be true.

yes

Yes, that is quite correct.

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