The problem from your image involves two sets $B$ and $H$, and you are asked to find:

1. The union $B \cup H$
2. The intersection $B \cap H$

The sets are defined as: $B = \{-2, -1, 0, 3, 6, 8\}$ $H = \{-1, 2, 4, 7, 8\}$

(a) The union $B \cup H$:

The union of two sets contains all the elements from both sets, without duplicates: $B \cup H = \{-2, -1, 0, 2, 3, 4, 6, 7, 8\}$

(b) The intersection $B \cap H$:

The intersection of two sets contains only the elements that are present in both sets: $B \cap H = \{-1, 8\}$

So the answers are:

• $B \cup H = \{-2, -1, 0, 2, 3, 4, 6, 7, 8\}$
• $B \cap H = \{-1, 8\}$

Let me know if you would like further clarification!

Here are some related questions:

1. What is the difference between union and intersection of sets?
2. Can a union ever result in fewer elements than either set individually?
3. How is the complement of a set defined, and how does it relate to union and intersection?
4. What are disjoint sets, and how do they affect union and intersection?
5. How can we represent the union and intersection of sets using Venn diagrams?

Tip: Always remember that the union of two sets includes every unique element, while the intersection focuses only on common elements!