Questions: Express the following statement in interval notation. Harry's GPA is at least 2.1 but at most 3.4. [2.1,3.4] (2.1,3.4) [2.1,3.4) (2.1,3.4] The statement cannot be expressed in interval notation.

Express the following statement in interval notation. Harry's GPA is at least 2.1 but at most 3.4. [2.1,3.4] (2.1,3.4) [2.1,3.4) (2.1,3.4] The statement cannot be expressed in interval notation.

Transcript text: Express the following statement in interval notation. Harry's GPA is at least 2.1 but at most 3.4. $[2.1,3.4]$ $(2.1,3.4)$ $[2.1,3.4)$ $(2.1,3.4]$ The statement cannot be expressed in interval notation.

Solution

Solution Steps

To express the statement "Harry's GPA is at least 2.1 but at most 3.4" in interval notation, we need to identify the correct interval that includes both endpoints since "at least" and "at most" imply inclusivity.

Step 1: Identify the Interval Notation

The statement "Harry's GPA is at least 2.1 but at most 3.4" implies that the GPA can be equal to 2.1 and 3.4, meaning both endpoints are included.

Step 2: Write the Interval Notation

In interval notation, an inclusive range is represented with square brackets. Therefore, the interval notation for the given statement is: \[ [2.1, 3.4] \]

Final Answer

The answer is the first option: \[ \boxed{[2.1, 3.4]} \]

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