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Math 101: Introduction to Sets

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Questions and Answers

What is a set in mathematics?

A collection of undefined objects

A collection with no well-defined boundaries

An ambiguous collection of elements

A well-defined collection of objects (correct)

What is the empty set denoted by?

A or a

{∅}

Capital letters

∅ or {} (correct)

What is used to denote sets?

Uppercase letters (correct)

Lowercase letters

Symbols

Numbers

What is meant by a well-defined set?

A set with clear membership criteria Signup and view all the answers

How is set membership notation written?

x ∈ A Signup and view all the answers

What is the condition for set A to be a subset of set B?

Every element of A is an element of B Signup and view all the answers

What is the symbol used to denote a proper subset?

⊂ Signup and view all the answers

What is the condition for two sets A and B to be equal?

A ⊆ B and B ⊆ A Signup and view all the answers

What is the universal set denoted by in a discussion of sets?

U Signup and view all the answers

What is the method of describing a set by listing its elements in a pair of braces?

Roster method Signup and view all the answers