A = {5, 6, 7}
J = {0, 1, 2, 5, 8}
You asked:
Given the below definitions for sets:
\[\begin{align*}& A &=& \left\{5, 6, 7\right\} \\ & J &=& \left\{0, 1, 2, 5, 8\right\}\end{align*}\]Evaluate each set by simplifying it and computing its cardinality, and evaluate the union and intersection of all given sets.
MathBot Answer:
The set is already an enumeration of its elements: \[\begin{align*} &\{5,6,7\}\end{align*}\]
The cardinality of the expression is $3$.
The set is already an enumeration of its elements: \[\begin{align*} &\{0,1,2,5,8\}\end{align*}\]
The cardinality of the expression is $5$.
The solution to the expression $A \cup J$ is the set \[\begin{align*} &\{0,1,2,5,6,7,8\}\end{align*}\]
The cardinality of the expression is $7$.
The solution to the expression $A \cap J$ is the set $\left\{5\right\}$.
The cardinality of the expression is $1$.