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Write the set \( \{x \mid x>3\} \) in interval notation. \( \begin{array}{l}\text { Choose the correct interval. } \\ \text { A. }(-\infty, 3] \\ \text { B. }(3, \infty) \\ \text { C. }(-\infty, 3) \\ \text { D. }[3, \infty)\end{array} \)

Ask by Pollard Salinas. in the United States
Feb 27,2025

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Answer

The set is \( (3, \infty) \), which is option B.

Solution

The set {x | x > 3} consists of all numbers greater than 3, but not including 3. In interval notation, this is written as (3, ∞), which corresponds to option B.

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The set \( \{x \mid x>3\} \) in interval notation is represented as \( (3, \infty) \). This means that \( x \) can take any value greater than 3 but does not include 3 itself. So, the correct interval is: **B. \( (3, \infty) \)**.

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