Q3 of 41 Page 33

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

Given: G = {7, 8} and H = {5, 4, 2}

By definition of Cartesian product of two non-empty Set P and Q:


P × Q = {(p, q): p Є P, q Є Q}


Therefore, G × H = {(7,5), (7,4), (7,2), (8,5), (8,4), (8,2)}.


And H × G = {(5,7), (5,8), (4,7), (4,8), (2,7), (2,8)}.


More from this chapter

All 41 →
1

If , find the values of x and y.

 2

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

 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.