If A = {1, 2, 4, 6, 8}, B = {2, 3, 4, 5, 6} and C = {3, 6, 9, 12, 15}, find A − B,B − C,
C − A
You asked:
Given the below definitions for sets:
\[\begin{align*}& A &=& \left\{1, 2, 4, 6, 8\right\} \\ & B &=& \left\{2, 3, 4, 5, 6\right\} \\ & C &=& \left\{3, 6, 9, 12, 15\right\}\end{align*}\]List the elements of the following set expressions:
\[\begin{align*}& A - B \\ & B - C \\ & C - A\end{align*}\]MathBot Answer:
The solution to the expression $A - B$ is the set \[\begin{align*} &\{1,8\}\end{align*}\]
The solution to the expression $B - C$ is the set \[\begin{align*} &\{2,4,5\}\end{align*}\]
The solution to the expression $C - A$ is the set \[\begin{align*} &\{3,9,12,15\}\end{align*}\]