Interval Notation

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the interval notation (a, b) represent?

Back

The set of all real numbers x such that a < x < b, where a and b are not included in the interval.

Front

What does the interval notation [a, b] represent?

Back

The set of all real numbers x such that a ≤ x ≤ b, where both a and b are included in the interval.

Front

What does the interval notation (a, b] represent?

Back

The set of all real numbers x such that a < x ≤ b, where a is not included and b is included in the interval.

Front

What does the interval notation [a, b) represent?

Back

The set of all real numbers x such that a ≤ x < b, where a is included and b is not included in the interval.

Front

How is the interval notation for x < 8 expressed?

Back

(-∞, 8) - This represents all real numbers less than 8.

Front

How is the interval notation for x ≥ 5 expressed?

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[5, ∞) - This represents all real numbers greater than or equal to 5.

Front

How do you express the interval (-7, 15] in set notation?

Back

-7 < x ≤ 15 - This indicates that x is greater than -7 and less than or equal to 15.

Front

What is the interval notation for -7 ≤ x < 8?

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[-7, 8) - This includes -7 and excludes 8.

Front

What does the union of intervals mean in interval notation?

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It combines two or more intervals, indicating that any value in either interval is included.