Q41 of 68 Page 27

State True or False for the following statements

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

The given statement is false.

Explanation:


Two ordered pairs are equal, if and only if the corresponding first elements are equal and the second elements are also equal,


So from given criteria



⇒ x-2 = -2 and


⇒ x = -2 + 2 and


⇒ x = 0 and


These are the values of x and y


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38

State True or False for the following statements

The ordered pair (5, 2) belongs to the relation R = {(x, y) : y = x – 5, x, y ∈ Z}

 39

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)}

 40

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)


= {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6)}.

 42

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}.