There is no set of three consecutive even integers whose sum is 999. There are two other sets; one is odd, the other is mixed. The odd set is 331, 333 and 335. The mixed set is 332, 333 and 334.
That if one of them is a, the other is -a.
There is no set of two consecutive integers having a product of 14. Product means the result of multiplication.
The rational numbers. The set of rational numbers is the set of all numbers that can be expressed as p/q where p and q are integers.
Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.
There is no set of two consecutive integers equating to 200.
Integers include negative numbers.
There is no set of two consecutive odd integers for 323. The set has one odd and one even integer. The numbers are 161 and 162.
There is no set of three consecutive even integers whose sum is 999. There are two other sets; one is odd, the other is mixed. The odd set is 331, 333 and 335. The mixed set is 332, 333 and 334.
It is a set of two positive odd integers.
The two sets are the same: the set of integers.
That if one of them is a, the other is -a.
"Consecutive" integers are integers that have no other integer between them.
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
There is no law of closure. Closure is a property that some sets have with respect to a binary operation. For example, consider the set of even integers and the operation of addition. If you take any two members of the set (that is any two even integers), then their sum is also an even integer. This implies that the set of even integers is closed with respect to addition. But the set of odd integers is not closed with respect to addition since the sum of two odd integers is not odd. Neither set is closed with respect to division.
There is no set of two consecutive integers having a product of 14. Product means the result of multiplication.
You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).