21.2. Question 1

Try these first

1. 1.

   Define what a subset is.

   Hint

   Think about the relationship between two sets.

2. 2.

   What is an intersection of sets?

   Hint

   Consider elements that are found in both sets.

3. 3.

   What does A ∩ C represent?

   • All elements of A only
   • Elements common to A and C
   • Elements in C only

   Hint

   Focus on intersection concepts.

4. 4.

   Is the following statement true? 'If A ⊆ B, then A ∩ C will always be a subset of B.'

   • True
   • False

   Hint

   Think of what changes based on subsets.

5. 5.

   Given sets A = {1, 2, 3} and B = {2, 3, 4}, find A ∩ B and examine its implications on A ⊆ B.

   Hint

   Think about which numbers appear in both sets.

6. 6.

   Design a relation that is both symmetric and anti-symmetric for set A = {1, 2}.

   Hint

   Reflect on how symmetric requirements restrict your choices.