F = {-2, 1, 4, 8}
G = {-2, 0, 1, 5, 6, 8}
You asked:
Given the below definitions for sets:
\[\begin{align*}& F &=& \left\{-2, 1, 4, 8\right\} \\ & G &=& \left\{-2, 0, 1, 5, 6, 8\right\}\end{align*}\]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: \[\begin{align*} &\{-2,1,4,8\}\end{align*}\]
The cardinality of the expression is $4$.
The set is already an enumeration of its elements: \[\begin{align*} &\{-2,0,1,5,6,8\}\end{align*}\]
The cardinality of the expression is $6$.
The solution to the expression $F \cup G$ is the set \[\begin{align*} &\{-2,0,1,4,5,6,8\}\end{align*}\]
The cardinality of the expression is $7$.
The solution to the expression $F \cap G$ is the set \[\begin{align*} &\{-2,1,8\}\end{align*}\]
The cardinality of the expression is $3$.