Answer
Done below.
Work Step by Step
a) $A \cup A = \{x : x \in A \vee x \in A \} = \{x : x \in A \} = A$
b) $A \cap A = \{x : x \in A \wedge x \in A \} = \{x : x \in A \} = A.$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.