cragar said:This may be a dumb question but let's say i have the set of integers [itex] \mathbb{z} [/itex]
can I say that [itex] \frac{\pi}{\pi} [/itex] or [itex] (sin(x))^2+(cos(x))^2 [/itex]
is a subset of the integers?
cragar said:yes but the way we constructed 1 used numbers that are not part of the integers.
I don't know if that matters
A subset is a set that is formed by selecting some of the elements from a larger set. The elements of a subset must also be elements of the larger set.
To determine if one set is a subset of another set, you must check if all the elements of the smaller set are also elements of the larger set. If they are, then the smaller set is a subset of the larger set.
A subset is a set that is formed by selecting some of the elements from a larger set. A proper subset is a subset that is not equal to the larger set. This means that a proper subset does not contain all the elements of the larger set.
A set can have an infinite number of subsets. The number of subsets of a set with n elements is 2^n, where n is the number of elements in the set.
Yes, a set can be a subset of itself. This is because all the elements of the set are also elements of itself, making it a subset. However, it is not considered a proper subset because it is equal to the larger set.