State True or False for the statement:If A × B = {(a, x), (a, y), (b,

1.	State True or False for the statement:If A × B = {(a, x), (a, y), (b, x), (b, y)}, then A = {a, b}, B = {x, y}.
Answer» The given statement is true Explanation: Given A × B = {(a, x), (a, y), (b, x), (b, y)} So Set A will be set of first element of ordered pairs in A x B So, A = {a, b} And B will be set of first element of ordered pairs in A x B So B = {x, y}

State True or False for the statement:If A × B = {(a, x), (a, y), (b, x), (b, y)}, then A = {a, b}, B = {x, y}.

Answer»

The given statement is true

Explanation:

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

Set A will be set of first element of ordered pairs in A x B

So, A = {a, b}

And B will be set of first element of ordered pairs in A x B

So B = {x, y}