Use Interval Notation
Express the Interval in Set-Builder Notation and Graph

question 294

Multiple Choice

Use Interval Notation
Express the interval in set-builder notation and graph the interval on a number line.
-[-3, 3)

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

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Definitions:

Absolute Value

The distance of a number from zero on the number line, without considering direction; always a non-negative number.

Set Notation

A systematic way of writing sets, often using curly braces and symbols to define elements and operations on sets.

Absolute Value Inequality

An inequality that involves the absolute value of an expression, requiring consideration of both the positive and negative cases.

Absolute Value Inequality

An inequality that involves the absolute value of a variable expression, requiring consideration of both positive and negative scenarios.