Question 5:
If A = {−1, 1}, find A × A × A.
Answer
It is known that for any non-empty set A, A × A × A is defined as A × A × A = {(a, b, c): a, b, c ∈ A}
It is given that A = {−1, 1}
∴ A × A × A = {(−1, −1, −1), (−1, −1, 1), (−1, 1, −1), (−1, 1, 1), (1, −1, −1), (1, −1, 1), (1, 1, −1), (1, 1, 1)}
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