Q42 of 68 Page 27

State True or False for the following statements

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





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}


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State True or False for the following statements

If P = {1, 2}, then P × P × P = {(1, 1, 1), (2, 2, 2), (1, 2, 2), (2, 1, 1)}

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State True or False for the following statements

If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, then (A × B) ∪ (A × C)


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 41

State True or False for the following statements

If (x – 2, y + 5) = are two equal ordered pairs, then x = 4, .