Write a set comprehension form of these 1) [2,0) 2) [4,9] 3) (infinity,0) 4) [0, infinity)

Set comprehensions are a concise way to define sets in mathematical notation. Below are the set comprehensions for the given intervals:

1. **Interval [2, 0)** (Note: This interval is empty as 2 > 0, but if this is a typo, please clarify)
\[ \{ x \in \mathbb{R} \mid 2 \leq x < 0 \} \]

2. **Interval [4, 9]**
\[ \{ x \in \mathbb{R} \mid 4 \leq x \leq 9 \} \]

3. **Interval (−∞, 0)**
\[ \{ x \in \mathbb{R} \mid x < 0 \} \]

4. **Interval [0, ∞)**
\[ \{ x \in \mathbb{R} \mid x \geq 0 \} \]

Please confirm if the intervals are correct or if any clarifications are needed.

Would you like details or have any questions about these set comprehensions? Here are some additional questions you might find interesting:

1. How do you represent the interval (2, 5) using set comprehension?
2. What is the set comprehension for the union of intervals [1, 3] and [4, 6]?
3. How would you write the intersection of the sets \(\{ x \in \mathbb{R} \mid x > 2 \}\) and \(\{ x \in \mathbb{R} \mid x < 5 \}\)?
4. Can you express the interval (−∞, ∞) in set comprehension form?
5. What is the set comprehension for the complement of the interval [3, 7] in the real numbers?

**Tip:** When defining sets using set comprehension, ensure that the conditions clearly specify the range or characteristics of the elements included in the set.

Understand set comprehensions for different interval notations including [2, 0), [4, 9], (-∞, 0), and [0, ∞). Learn how to express these intervals using mathematical set notation with detailed examples and explanations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation