A = {(x, y) ∈ R2: 1 ≤ x ≤ 8, 1 ≤ y ≤ 4} (graficarlo)

Here is the graph of the set \( A = \{(x, y) \in \mathbb{R}^2 : 1 \leq x \leq 8, 1 \leq y \leq 4\} \). The light blue region represents the rectangle defined by these boundaries on the Cartesian plane.

Would you like any more details or have any specific questions?

### Related Questions:
1. How can you determine the area of this rectangle from the graph?
2. What are the coordinates of the rectangle's center?
3. How would this graph change if \( y \) were restricted to the interval \( [2, 5] \)?
4. How would you represent this region using inequalities involving \( x \) and \( y \)?
5. What is the length of the diagonal of the rectangle?
6. How would the graph change if the boundaries were strict inequalities (e.g., \( 1 < x < 8 \))?
7. How would you plot the set if \( x \) and \( y \) were only integers?
8. How would the graph change if you translated the rectangle up by 2 units?

### Tip:
When graphing inequalities, it's helpful to highlight the boundaries clearly to differentiate between regions that are included and those that aren't.

Explore the graph of set A = {(x, y) in R^2 : 1 <= x <= 8, 1 <= y <= 4}. The graph illustrates a rectangle on the Cartesian plane defined by these boundaries. Learn how to interpret and analyze graphs of inequalities and rectangles. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation