Question

A die is thrown. Describe the following events: 

1. A: a number less than 7.

2. B: a number greater than 7.

3. C: a multiple of 3:

4. D: a number less than 4.

5. E: An even number greater than 4.

6. F: a number not less than 3.

Also find

A ∪ B, A ∩ B, B ∪ C, E ∩ F, D ∩ E, A – C, D – E F’, E ∩ F’.

Answer 1

1. A = {1, 2, 3, 4, 5, 6}

2. B = Φ

3. C = {3, 6}

4. D = {1, 2, 3}

5. E = {6}

6. F = {3, 4, 5, 6}

Now; A ∪ B = {1, 2, 3, 4, 5, 6}

A ∩ B = Φ; B ∪ C = {3, 6}, E ∩ F = {6}

F’ = {1, 2}, E ∩ F’ = Φ.