This set contains all of the elements for any specific discussion. When this set is given, only the elements in this set may be considered when working with the problem.
If question is correct, then provide the symbol.
What is the universal set? What is U?
100
This set is a subset of all sets and this set contains no elements.
If question is correct, then provide symbol.
What is the empty set or null set?
100
The set of even natural numbers between 160 and 178 expressed in roster form.
What is {162, 164, 166, 168, 170, 172, 174, 176}?
100
Two sets, A & B, which have no elements in common are said to be this or the intersection of these sets are empty.
If question is correct then draw the appropriate Venn Diagram.
What is disjoint?
Drawing
100
If A = {4, 5, 6, 7, 8, 9, 10, pink, purple, yellow, orange, hat, snake, apple} and B = {9, 10, yellow, hat, snake} this is the difference of set A & B.
If the question is correct then illustrate and shade the appropriate area with a Venn Diagram.
What is {4, 5, 6, 7, 8, pink, purple, orange, apple}?
Drawing
200
The set of the most interesting courses at South University is an example of this.
What is not a well defined set?
200
E ={apple, orange, pear, onion, purple} has a cardinal number of ____, and has _____ subsets, ____ proper subsets.
What is 5, 32, 31 ?
200
Set P is the set of planets in Earth’s solar system.
What is P = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}?
200
This is the most general form of a Venn Diagram representing two sets A and B with some elements in common.
If question is correct then draw the appropriate Venn Diagram.
What is overlapping sets?
Drawing.
200
Given that:
A = {orange, banana, apple}
B = {1, 2}
A × B has this result.
What is {(orange, 1), (orange, 2), (banana, 1), (banana, 2), (apple, 1), (apple, 2)}?
300
The symbol __ read ________________ is used to indicate membership in a set.
What is " ∈ " & “is an element of” ?
300
1) The number of distinct subsets of set A with n elements.
2) The number of distinct proper subsets of set A with n elements.
If question is correct provide example of a set with 3 elements and its subsets and proper subsets.
1) What is 2^n ?
2) What is 2^n - 1 ?
Examples will vary.
300
Verbal description of B = {1, 2, 3, 4, …, 80}.
What is What is the set B of natural numbers less than or equal to 80?
300
In a Venn diagram of two overlapping sets, A & B, and A ⊆ B, this is known about the regions.
If question is correct then illustrate with a Venn Diagram.
What is Region I must be empty.
Drawing.
300
Given that:
U = {c, w, b, t, a, h, d, f, g, r, p, m, z}
A = {b, c, t, w, a, h}
B = {a, d, f, g ,h, r}
A ∩ B = {a, h}
The result has this Venn Diagram.
Drawing
400
Two sets that contain the same number of elements are an example of this type of sets.
If question is correct, then provide an example and explain cardinal number and its symbol.
What are equivalent sets?
Examples will vary, cardinal number symbol is n(A).
400
1) A ⊆ B indicates that...
2) A ⊂ B indicates that...
If correct questions, provide examples.
1) What is “set A is a subset of set B.” ? A ⊆ B
2) What is "set A is a proper subset of set B."? A ⊂ B
Examples will vary.
400
Set B = {1, 2, 3, 4, 5} in set-builder notation.
What is B= {x|x ∈ N and x < 6} or B= {x|x ∈ N and x <=5}
400
This is the set of all elements in the? universal set that? are not in set A.
What is the Complement? What is A'?
Drawing.
400
U is the set of all car dealerships
A is the set of all car dealerships that sell Toyotas.
B is the set of all car dealerships that sell Mercedes.
C is the set of all car dealerships that sell Chevrolets.
1. A ⋃ B ⋃ C results in this English sentence.
1. What is the set of dealerships that sell Toyotas, or Mercedes or Chevrolets.
500
The three ways a set can be written.
If Question is correct, then provide examples.
What are the Description Form, Roster Form, and Set Builder Notation Form.
Examples will vary
500
All proper subsets of A = {1, 2, 3, 4}.
What are { }, {1}, {2}, {3}, {4}, {1,2}, {1,3}, {1,4}, {2,3}, {2,4}, {3,4}, {1,2,3}, {1,2,4}, {1,3,4}, {2,3,4}?
500
Example of a finite data set, example of an infinite data set.
What is answers will vary...
500
1. This is the set containing all the elements that are common to both set A and set B.
2. This is the set containing all the elements of set A and B.
If questions are correct then draw appropriate labeled Venn Diagrams with the respective shaded regions.
1. What is the intersection of sets A and B? What is A ∩ B?
2. What is the union of sets A and B? What is A ⋃ B?
Drawings
500
When:
U = {a, b, c, d, e, f, g, h, i, j, k}?
A = {b, d, e, f, g, h}
B = {a, b, d, h, i}
C = {b, e, g}
and A´– B then the result is this set.
What is {c, j, k}?
Reasoning:
A´– B is the set of elements that are in set A´ but not in set B.
A´ = {a, c, i, j, k}
A´– B = {c, j, k}