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A homework assignment for a sets class, focusing on determining if elements belong to given sets, understanding set terminology, and forming subsets. Students are asked to fill in blanks, list elements, write descriptions, and identify equal and equivalent sets.
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Determine whether or not a given object is an element of a described set. Use set terminology to answer questions about sets. Form subsets of a given set. Write a verbal description of a given set. SET TERMINOLOGY: A Set is a collection of objects called members or elements. A set with no members is called an empty or null set. Two sets are equal if and only if they contain exactly the same elements. A one-to-one correspondence is a pairing of all the elements in one set with one and only one element of another set. Two sets are equivalent if and only if there is a one-to-one correspondence between the two sets. A set is finite if it is empty of if it can placed into a one-to-one correspondence with a set of the form {1, 2, 3,... , N}, where N is a whole number. The universal set is the set of all elements being considered in a certain situation. The complement of a set A is the set of all elements in the universal set that are not in A. Set A is a subset of set B, if and only if every element of set A is also an element of set B. Set a is a proper subset of set B, if and only if every element of set A is an element of set B, and B contains at least one element that is not in set A. WORKING WITH SETS A. Determine whether or not the given element is in the given set. Fill in each blank with or .
B. List the elements in the following sets.