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Graph the set \( \{x \mid 2
Ask by Carlson Reeves. in the United States
Feb 26,2025

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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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To graph the set \( \{x \mid 2

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