Express the Interval in Set-Builder Notation and Graph the Interval $$( - 5,3 ]$$

question 278

Multiple Choice

Express the interval in set-builder notation and graph the interval on a number line.
- $$( - 5,3 ]$$

• A) \(\{ x \mid - 5 < x \leq 3 \}\)
• B) \(\{ x \mid - 5 < x < 3 \}\)
• C) \(\{ x \mid x \leq 3 \}\)
• D) \(\{ x \mid - 5 \leq x \leq 3 \}\)

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Definitions:

Good Will

A will without ulterior motive, motivated solely by the intention to do one’s duty.

Selfishness

The act or practice of placing one's own needs or desires above the welfare of others.

Natural Tendency

An innate inclination or predilection towards a particular behavior or action.

Duty-Defined

Describes actions or behaviors dictated by obligations, responsibilities, or moral commitments.