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But how should I specify what values n can take? Any hints?FactChecker said:
Can n be an arbitrary rational number, such as 1/2? Can n be any real number? Some details on the possible values of n are what @FactChecker is looking for.Math100 said:
{...,-4pi, -2pi, 0, 2pi, 4pi, ...}FactChecker said:
So for ##2\pi n## to take on those values, what set of numbers does n belong to? That's what we're trying to get you to tell us.Math100 said:
{..., -2, -1, 0, 1, 2, ...}Mark44 said:
Also known as the integers, ##\mathbb{Z}##Math100 said:
Thank you so much!FactChecker said:
Sets are collections of distinct objects or elements that are grouped together based on a common characteristic or property. They are often represented using curly braces {} and each element is separated by a comma.
To find the elements of a set, you can either list them out or use set-builder notation. In set-builder notation, the elements are described using a rule or condition that they must satisfy to be included in the set.
The cardinality of a set is the number of elements in the set. It is represented by the symbol |A|, where A is the set. For example, if a set A = {1, 2, 3}, then |A| = 3.
To determine if an element is in a set, you can check if the element satisfies the condition or rule set by the set-builder notation. If the element satisfies the condition, then it is included in the set. If not, then it is not part of the set.
No, sets do not have duplicate elements. Each element in a set must be unique and cannot be repeated. If there are multiple instances of an element, it is still considered as one element in the set.
