Question
Graph the set \( \{x \mid 2
Ask by Carlson Reeves. in the United States
Feb 26,2025
Ask by Carlson Reeves. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To graph the set { x | 2 < x < 4 } on the number line, draw a line and mark open circles at 2 and 4, then shade the area between them. In interval notation, this is written as (2, 4).
Solution
To graph the set { x | 2 < x < 4 } on the number line, first draw a horizontal line and mark the points 2 and 4. Since the inequalities are strict (2 < x < 4), you use open circles (or hollow dots) at 2 and 4 to indicate that these endpoints are not included. Then, shade the portion of the line between 2 and 4.
Here’s a simple text illustration:
---○==========○---
2 4
(The open circles at 2 and 4 indicate the values are not included, and the solid line between indicates all numbers in between are included.)
In interval notation, this set is written as (2, 4).
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Beyond the Answer
To graph the set \( \{x \mid 2