Question

If A × B = {(a, x), (a, y), (b, x), (b, y)}. Find A and B.​

Answer 1

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Given,

A × B = {(a, x), (a, y), (b, x), (b, y)}

We know that the Cartesian product of two

non-empty sets P and Q is given by:

P × Q = {(p, q): p ∈ P, q ∈ Q}

Hence,

A is the set of all first elements and B is the set of all second elements.

Therefore,

A = {a, b} and B = {x, y}

Answer 2

Answer:

➡ Given,

A × B = {(a, x), (a, y), (b, x), (b, y)}

We know that the Cartesian product of two non-empty sets P and Q is given by:

P × Q = {(p, q): p ∈ P, q ∈ Q}

Hence,

A is the set of all first elements and B is the set of all second elements.

Therefore,

➡ A = {a, b} and B = {x, y}

Step-by-step explanation:

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