Question

How to write the union and intersection of two sets using interval notation?

I'm trying to figure out the union and intersection of these two sets (below) using interval notation for these problems

B=v
C=v

Answer 1

The union of sets B and C is [1, ∞) and the intersection is [1, 8) using interval notation, which represents all elements greater than or equal to 1 for the union and all elements from 1 inclusive to 8 exclusive for the intersection.

Step-by-step explanation:

To write the union and intersection of two sets using interval notation, you need to understand the definitions of these operations. The union of two sets contains all elements that are in either set, while the intersection of two sets contains only the elements that are in both sets.

For the sets B=v and C=v, we can write them in interval notation as follows:

• Set B in interval notation: [1, ∞)
• Set C in interval notation: (-∞, 8)

The intersection (B ∩ C), using interval notation, would be the set of all elements that both sets have in common, which translates to:

[1, 8)

For the union (B ∪ C), which consists of all elements that are in B or C (or both), the interval notation is:

[1, ∞)

Remember, union represents the combination of both sets, and since set B continues indefinitely, it encompasses set C entirely.