Question

If A = {2, 3} and B = {x | x Î N and x < 3}, then A ´ B is 
1.{(2, 1), (2, 2), (3, 1), (3, 2)}
2.{(1, 2), (1, 3), (2, 2), (2, 3)}
3.{(1, 2), (2, 2), (3, 3), (3, 2)
4.None of these.​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A = {2, 3} and B = {x | x ∈ N and x < 3}, then A ´ B is 

1. {(2, 1), (2, 2), (3, 1), (3, 2)}

2. {(1, 2), (1, 3), (2, 2), (2, 3)}

3. {(1, 2), (2, 2), (3, 3), (3, 2)}

4. None of these.

EVALUATION

Here the given sets are

A = {2, 3}

B = {x | x ∈ N and x < 3}

∴ B = { 1 , 2 }

We know that for two given sets A and B the cartesian product is denoted by A × B and defined as

A × B = { (x, y) : x ∈A and y ∈ B }

Thus we have

A × B = {(2, 1), (2, 2), (3, 1), (3, 2)}

FINAL ANSWER

Hence the correct option is

1. {(2, 1), (2, 2), (3, 1), (3, 2)}

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