Question

Find A×B ,A×A,B×A
1.A=B (p, q)

Answer 1

Answer:

Here is your answer

concept : for sets A and B, the Cartesian product A × B is the set of all ordered pairs (a, b) where a ∈ A and b ∈ B.

product can be written in set builder notation as

A×B={(a,b)∣a∈Aandb∈B}

given, A = B = {p, q}

A × B = {p , q} × {p, q}

= {(p, p), (p, q), (q, p), (q, q)}

A × A = {p, q} × {p, q}

= {(p, p), (p, q), (q, p), (q, q)}

here it is clear that A × B = A × A = {(p, p), (p, q), (q, p), (q, q)}

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