Set Theory

A Set is defined as...

• a collection of elements that satisfy a well-defined criteria

• a distinct object that belongs to a set

• a set contained within another set

• all elements not in the set

Set C is the set of whole numbers less than 9. Which of the following represents set C?

• C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

• C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

• C = {1, 2, 3, 4, 5, 6, 7, 8}

• C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Tags

CCSS.2.MD.B.6

Which of the following best describes the set M = {6, 8, 10, 12, 14, 16, 18}?

• The set of integers from 6 to 18.

• The set of even integers from 6 to 18.

• The set of odd integers from 6 to 18.

• The set of the multiples of 4 from 6 to 18.

Which of the following best describes the set {..., -2, -1, 0, 1, 2, ...}?

• Natural Numbers

• Whole Numbers

• Integers

• Irrational Numbers

An element is defined as...

• a collection of elements that satisfy a well-defined criteria

• a distinct object that belongs to a set

• a set contained within another set

• all elements not in the set

When every element in set A is also in set B, then...

• A is a subset of B

• B is a subset of A

• A and B are complements

• A and B are disjoint

Let A = {3, 6, 9, 12, 15, 18, 21, 24} and B = {6, 12, 18, 24}. Which of the following is true about the two sets?

• A and B are mutually exclusive

• A and B are disjoint

• A is a subset of B

• B is a subset of A

A complement is defined as...

• a collection of elements that satisfy a well-defined criteria

• a distinct object that belongs to a set

• a set contained within another set

• a set of elements that are not in a universal set

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

• {-4, -3, -2, -1, 0, 1, 2, 3}

• {-3, -2, -1, 1, 2, 3}

• {-4, -3, -2, -1, 1, 2, 3, 4}

• {-4, -3, -2, -1, 1, 2, 3}

Tags

CCSS.HSS.CP.A.1

If U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = ?

• {1, 3, 13, 15, 17}

• {1, 3}

• {2, 4, 6, 8, 10, 12, 14, 16}

• {1, 3, 5, 7, 9, 11, 13, 15, 17}

Tags

CCSS.HSS.CP.A.1