First slide

Operations on Sets

Question

If $A = {2, 3, 4, 5, 7}, B = {1, 2, 4, 7, 9}$ then $((A ~ B) \cup (B ~ A)) \cap A$ is equal to

Moderate

A

${3, 5}$
B

${2, 4}$
C

${3, 7}$
D

${2, 7}$

Solution

$\begin{array}{l} ((A ~ B) \cup (B ~ A)) \cap A \\ = ((A ~ B) \cap A) \cup (B ~ A) \cap A \\ = (A - B) \cup ϕ = (A ~ B) = {3, 5} \end{array}$

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