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Define set
) A collection of wild animals is a set. However, a collection of big
animals is not a set. How do you justify
these statements?
Write four methods of describing sets with one example of each method.

Verified Answer :

GinnyAnswer

Final answer:

A set is a collection of well-defined things enclosed in curly brackets {}. Sets can be described by listing elements, rules, roster, or Venn diagrams.


Explanation:

A set is a well-defined collection of things. In a set, the elements are enclosed in curly brackets {}. For example, the solutions to x² = 1 can be represented as the set {-1, 1}.

  1. Listing method: A set can be described by directly listing its elements, such as the set of prime numbers = {2, 3, 5, 7, ...}.
  2. Rule method: Sets can be defined by a rule, like the set of even numbers = {x | x is an integer and x is divisible by 2}.
  3. Roster method: Describing a set using properties of its elements, e.g., the set of mammals with examples like {lion, tiger, elephant}.
  4. Venn diagram method: Representation of sets using overlapping circles, like the set of animals = {cats, dogs, birds} with respective circles.

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