15.7. Set Operations

Try these first

1. 1.

   What is the union of A = {2, 3} and B = {1, 2, 4}?

   Hint

   Combine all unique elements from both sets.

2. 2.

   If A = {1} and B = {2}, what is A ∩ B?

   Hint

   Look for common elements between both sets.

3. 3.

   What does A ∪ B represent?

   • Elements only in A
   • All unique elements in A and B
   • Common elements between A and B

   Hint

   Think about combining sets.

4. 4.

   Is the intersection of two disjoint sets always empty?

   • True
   • False

   Hint

   What does disjoint mean?

5. 5.

   Prove that the union of three sets A, B, and C is equivalent to the union of A and B combined with set C.

   Hint

   Focus on how unions work to combine elements.

6. 6.

   Given two sets A = {1, 2, 3} and B = {2, 3, 4}, calculate A × (B - {3}).

   Hint

   First, focus on the difference then the Cartesian product.