Here is how you can express the given sets in set-builder notation:

a. {0, 1, 2, ..., 10}:

This is the set of all integers from 0 to 10. In set-builder notation, it is written as:

$A = \{ x \in \mathbb{Z} \mid 0 \leq x \leq 10 \}$

b. {January, February, March, April, May}:

This set contains specific months of the year. In set-builder notation, we can write:

$B = \{ x \in \text{Months} \mid x \text{ is one of January, February, March, April, May} \}$

This approach describes the set of months where $x$ is one of the listed months.

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Do you want further details or have any questions?

Here are 5 related questions to expand the topic:

1. How would you write the set of all even integers between 0 and 20 in set-builder notation?
2. Can you express the set of odd numbers from 1 to 15 in set-builder notation?
3. How do you write the set of months in a specific season (e.g., summer) in set-builder notation?
4. What is the set-builder notation for the set of prime numbers between 1 and 30?
5. How would you define the set of days of the week in set-builder notation?

Tip: In set-builder notation, always make sure to clearly define the property that elements must satisfy to belong to the set.