Set Operations Quiz

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

A ∪ B = B ∪ A

{a, b, c, d, h}

<p>A set containing all elements that are in both A and B</p> Signup and view all the answers

<p>A set containing all elements that are not in A</p> Signup and view all the answers

<p>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 $(x\in B)$</p> Signup and view all the answers

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

<p>${1,2}\cup{2,3}$ = ${1,2,3}$ $A_1 \cup A_2 \cup A_3$ 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</p> Signup and view all the answers

<p>$\cup$ = 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</p> Signup and view all the answers

<p>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</p> Signup and view all the answers