Interval Notation Essentials: Key Concepts and Applications

What does an open circle on a number line represent?

• The number is included in the interval

• The number is not included in the interval

• The interval is infinite

• The interval is finite

How is an interval that includes a number represented in interval notation?

• With a semicolon

• With a comma

• With a bracket

• With a parenthesis

What symbol is used to represent infinity in interval notation?

• Bracket

• Parenthesis

• Comma

• Semicolon

How do you represent the interval for x < 1 in interval notation?

• (-∞, 1]

• (1, ∞)

• (-∞, 1)

• [1, ∞)

What does a closed circle on a number line indicate?

• The interval is finite

• The number is included in the interval

• The number is not included in the interval

• The interval is infinite

How is the interval for x ≤ -2 represented in interval notation?

• (-2, ∞)

• (-∞, -2)

• (-∞, -2]

• [-2, ∞)

In a compound inequality, how is the interval for -3 ≤ x < 5 represented?

• [-3, 5)

• (-3, 5]

• (-3, 5)

• [-3, 5]

What does the 'U' symbol represent in interval notation?

• Superset

• Subset

• Union

• Intersection

How do you represent the union of the intervals x < 0 and x ≥ 3?

• (-∞, 0) ∩ [3, ∞)

• (-∞, 0) ∪ (3, ∞)

• (-∞, 0) ∪ [3, ∞)

• (-∞, 0] ∪ (3, ∞)

What does the upside-down 'U' symbol represent in interval notation?

• Union

• Superset

• Intersection

• Subset