Question

(i) \( A=\{2,-2,3\} \) and \( B=\{1,-4\} \) (ii) \( A=B=\{p, q\} \) (iii) \( A=\{m, n\} ; B=\phi \) 2. Let \( A=\{1,2,3\} \) and \( B=\{x \mid x \) is a prime number less than 10\( \} . \) Find \( A \times B \) and \( B \times A \).

Answer 1

We have A = {1, 2, 3} and

B = { x | x is prime number less than 10 }

= {2, 3, 5, 7}

Now, A X B = {(1, 2), (1, 3), (1, 5), (1, 7), (2, 2), (2, 3), (2, 5), (2, 7), (3, 2), (3, 3), (3, 5), (3, 7)}

And B X A  = {(2, 1), (3, 1), (5, 1), (7, 1), (2, 2), (3, 2), (5, 2), (7, 2), (2, 3), (3, 3), (5, 3), (7, 3)}