https://file.aiquickdraw.com/mathbot/file/1726619224699wdbon9y0.jpg

In the number line:

- The **gray shading** represents the **union** of the two intervals, which covers the entire real number line \( (-\infty, +\infty) \).
- The **blue segment** represents the **intersection** of the intervals, which is the range \( [-5, 7) \), including -5 but excluding 7.

Would you like more details or have any questions?

### Related Questions:
1. How do we calculate intersections for more complex intervals?
2. How does the intersection change if the intervals don't overlap?
3. Can there be intersections when one interval is finite and the other is infinite?
4. How do you determine union or intersection for intervals involving inequalities?
5. How would the result change if both intervals had open or closed endpoints?

### Tip:
When drawing intervals on a number line, use open or closed circles to clearly indicate whether endpoints are included or excluded.

On a number line, draw the intersection and the union of the following intervals: (-∞, 7) and [-5, +∞)

Understand how to find and visualize the union and intersection of the intervals (-∞, 7) and [-5, ∞) on a number line. This problem highlights key concepts in set theory and intervals. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation