Question

How do you convert set notation to interval notation?

Answer 1

To convert set notation to interval notation, follow these steps.

Step-by-step explanation:

To convert set notation to interval notation, you need to understand the different types of set notation and their corresponding interval notation. Here are the basic conversions:

1. For closed intervals, where both endpoints are included, you write the interval notation as [a, b]. For example, if the set notation is x , the interval notation would be [1, 5].
2. For open intervals, where neither endpoint is included, you write the interval notation as (a, b). For example, if the set notation is x , the interval notation would be (1, 5).
3. For half-open intervals, where one endpoint is included and the other is not, you write the interval notation as [a, b) or (a, b]. For example, if the set notation is 1 ≤ x < 5, the interval notation would be [1, 5) or (1, 5].

Remember to pay attention to the equality signs and use brackets and parentheses accordingly.

Answer 2

Imagine we are to express [ a , b ] in set notation

A = [ a , b ] , then A = { x ∈ R / a ≤ x ≤ b }

In this notation we define the characteristics of all x belonging to this set A ....x must be greater or equal to a and simultaneously smaller or equal to b...

Interval notation is other way to say the same but assuming that means the extreme a is IN the interval and means extreme a is not.