Q1 of 41 Page 33

If , find the values of x and y.

Given:

Since the ordered pairs are equal, the corresponding elements are equal.


Therefore,





Hence by solving we get, x = 2 and y = 1.


More from this chapter

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2

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).

 3

If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.

 4

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.

(i) If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n, m)}.


(ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.


(iii) If A = {1, 2}, B = {3, 4}, then A × (B ∩ ϕ) = ϕ.

 5

If A = {–1, 1}, find A × A × A.