(i) \( A=\{2,-2,3\} \) and \( B=\{1,-4\} \)(ii) \( A=B=\{p, q\} \)(iii

1.	(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» 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)}

(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»

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)}

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(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 \( B \times A \).

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