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Set Operations Quiz

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Questions and Answers

Which of the following best describes the union of two sets A and B?

A set containing all elements that are in A and B

A set containing all elements that are in A or in B (possibly both) (correct)

A set containing all elements that are in B but not in A

A set containing all elements that are in A but not in B

Which of the following is true about the union of sets A and B?

A ∪ B = A - B

A ∪ B = B ∪ A (correct)

A ∪ B = B - A

A ∪ B = A ∩ B

What is the union of sets A1, A2, and A3, given A1 = {a, b, c}, A2 = {c, h}, and A3 = {a, d}?

{c, h}

{a, b, c}

{a, b, c, d, h} (correct)

{a, d}

Which of the following best describes the intersection of two sets A and B?

A set containing all elements that are in both A and B Signup and view all the answers

Which of the following best describes the complement of a set A?

A set containing all elements that are not in A Signup and view all the answers

Match the following set operations with their descriptions:

Union of two sets A and B = A set containing all elements that are in $A$ or in $B$ (possibly both) Symbol for union of sets from $A_1$ to $A_n$ = $\bigcup_{i=1}^{n} A_i$ Union of three sets $A_1 = {a,b,c}, A_2 = {c,h}, A_3 = {a,d}$ = $A_1 \cup A_2 \cup A_3$ Condition for an element $x$ to belong to the union of sets A and B = $x\in(A\cup B)$ if and only if $(x\in A)$ or $(x\in B)$ Signup and view all the answers

Match the following set expressions with their equivalent forms:

$A \cup B$ = $B \cup A$ $A_1 \cup A_2 \cup A_3 \cdots \cup A_n$ = $\bigcup_{i=1}^{n} A_i$ $x\in(A\cup B)$ = $(x\in A)$ or $(x\in B)$ $A_1 \cup A_2 \cup A_3$ = ${a,b,c,h,d}$ Signup and view all the answers

Match the following set operations with their results:

${1,2}\cup{2,3}$ = ${1,2,3}$ $A_1 \cup A_2 \cup A_3$ where $A_1={a,b,c}, A_2={c,h}, A_3={a,d}$ = ${a,b,c,h,d}$ $x\in(A\cup B)$ = $x$ is in either $A$, $B$, or both $A \cup B$ = All elements that are in $A$, in $B$, or in both Signup and view all the answers

Match the following set symbols with their meanings:

$\cup$ = Union of two sets $\bigcup_{i=1}^{n} A_i$ = Union of $n$ sets $x\in(A\cup B)$ = $x$ is an element of the union of sets $A$ and $B$ $A \cup B=B \cup A$ = Union operation is commutative Signup and view all the answers

Match the following set operations with their definitions:

Union of two sets = A set containing all elements that are in either of the sets or in both Union of $n$ sets = A set containing all elements that are in at least one of the sets Element of the union of two sets = The element belongs to either of the sets or to both Commutativity of union operation = The order of sets in the union operation doesn't matter Signup and view all the answers

Study Notes

Set Operations

The union of two sets A and B is the set of all elements that are in A, in B, or in both.
The union of sets A1, A2, and A3, where A1 = {a, b, c}, A2 = {c, h}, and A3 = {a, d}, is {a, b, c, h, d}.
The union of sets A and B is true if it contains all elements that are in either A or B or both.

Set Intersection

The intersection of two sets A and B is the set of all elements that are common to both A and B.

Set Complement

The complement of a set A is the set of all elements that are not in A.

Set Matching

Set operations can be matched with their descriptions, expressions, results, symbols, and definitions.
Examples of set operations include union, intersection, and complement.
Examples of set symbols include ∪ (union), ∩ (intersection), and ' (complement).
Examples of set definitions include the set of all elements that are in A or B or both (union), and the set of all elements that are not in A (complement).

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Description

Test your knowledge of set operations, including union, intersection, complement, difference, and more. Explore concepts such as mutually exclusive sets, De Morgan's Law, and the distributive law. Take the quiz now and enhance your understanding of set theory.