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One possible conjecture: The product is always an odd number.
Another possible conjecture: The product is always greater than either of them.
Another possible conjecture: Both odd numbers are always factors of the product.
Another possible conjecture: The product is never a multiple of ' 2 '.
Another possible conjecture: The product is always a real, rational number.
Another possible conjecture: The product is always an integer.
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What is the product of two odd numbers?
The product of two odd numbers is always an odd number.
Find a counterexample to show that the conjecture is false?
if the qoutient of two numbers is positive, then both numbers must be a rectangle.
Is the sum of 2 numbers can be odd then there product is odd as well?
Let's take a look at this. For any integer n, 2n always be even, then the next consecutive number 2n + 1 must be odd. Let add them first, 2n + 2n + 1 = 4n + 1 = 2(2n) + 1 So their sum is odd, since every even number multiplied by 2 is also even. Let's multiplied them, 2n(2n + 1) = (2n)^2 + 2n Their product is even, since every even number raised in the second power is also even, and the sum of two even numbers is even too. So the answer is that when the sum of two numbers can be odd, their product is an even number. (note that the sum of two odd numbers is even)
What is the Linear Pair conjecture?
The linear pair conjecture states that if two angles form a linear pair, the sum of the angles is 180 degrees.
Is intersection of two countably infinite sets can be finite?
Easily. Indeed, it might be empty. Consider the set of positive odd numbers, and the set of positive even numbers. Both are countably infinite, but their intersection is the empty set. For a non-empty intersection, consider the set of positive odd numbers, and 2, and the set of positive even numbers. Both are still countably infinite, but their intersection is {2}.
