Understanding Set Complements and Relative Complements

What is the universal set typically designated by?

• The letter R

• The letter N

• The letter Z

• The letter U

In the example of the primitive island of Cocoloco, what does the complement of set A represent?

• All children of Cocoloco

• All female Cocoloconians

• All inhabitants of Cocoloco

• All male Cocoloconians

How is the complement of a set formally defined using set-builder notation?

• The set of all elements x such that x is a member of A and U

• The set of all elements x such that x is a member of U and x is not a member of A

• The set of all elements x such that x is not a member of U

• The set of all elements x such that x is a member of A

What is the complement of the set of natural numbers if the universal set is the set of integers?

• All positive integers

• All negative integers and zero

• All rational numbers

• All real numbers

What type of operation is forming a set's complement?

• Binary operation

• Ternary operation

• Quaternary operation

• Unary operation

What does the complement operation result in?

• Another set

• A union

• A subset

• A number

What is the universal set when considering the complement of natural numbers in the set of real numbers?

• The set of complex numbers

• The set of real numbers

• The set of rational numbers

• The set of integers

What is the relative complement of A in B sometimes written as?

• A minus B

• B minus A

• A plus B

• B plus A

What is the main difference between absolute and relative complements?

• Absolute complements require A to be a subset of the universal set

• Relative complements require A to be a subset of B

• Absolute complements require A to be a subset of B

• Relative complements require A to be a subset of the universal set

What is the next set operation to be introduced in the following lecture?

• Symmetric difference

• Union

• Intersection

• Cartesian product