21.3. Question 2

Try these first

1. 1.

   Define a subset in your own words.

   Hint

   Think about the relationship between two sets.

2. 2.

   What does the intersection of two sets represent?

   Hint

   Consider what elements appear in both sets.

3. 3.

   What does A ∩ B represent?

   • All elements in A
   • Elements common to A and B
   • All elements in B

   Hint

   Think about what elements overlap.

4. 4.

   If A ⊆ B, does that mean all elements in A are also in B?

   • True
   • False

   Hint

   Consider the definition of a subset.

5. 5.

   Given sets A = {2, 4, 6} and B = {4, 6, 8, 10}, prove that A ∩ B is a valid subset of C where C = {2, 4, 6, 8, 10}.

   Hint

   Identify common elements first!

6. 6.

   Illustrate how changing the definition of B affects the subset relationship with A.

   Hint

   Play with different sets and see the outcome.