A2_1.1.1 Video Lesson - Interval and Set Notation

Is your note sheet ready?

• YES

• NO

What does an open circle on a number line indicate?

• The number is the midpoint of the set.

• The number is not included in the set.

• The number is included in the set.

• The number is the endpoint of the set.

Tags

CCSS.6.EE.B.8

How do you represent a range that includes the endpoint in interval notation?

• Use a comma after the endpoint.

• Use a vertical line before the endpoint.

• Use brackets around the endpoint.

• Use parentheses around the endpoint.

In set notation, what symbol is used to indicate 'such that'?

• A semicolon

• A comma

• A colon

• A vertical line

How do you express the set of all integers except a specific number?

• Use a bracket around the number.

• Use a parenthesis around the number.

• Use the symbol 'E' to exclude the number.

• Use the symbol '≠' to exclude the number.

What does the capital 'I' symbolize in set notation?

• All irrational numbers

• All rational numbers

• All integers

• All real numbers

CYU #1

How would you write the inequality -2 < x ≤ 4 in interval notation?

• (-2, 4]

• [-2, 4)

• (-2, 4)

• [-2, 4]

Answer explanation

The inequality -2 < x ≤ 4 means x is greater than -2 but less than or equal to 4. In interval notation, this is represented as (-2, 4], where -2 is not included (parenthesis) and 4 is included (bracket). Thus, the correct choice is (-2, 4].

CYU #2

What is the interval notation for the inequality x > -3?

• (-3, ∞)

• [-3, ∞)

• (-∞, -3)

• (-∞, 3)

Answer explanation

The inequality x > -3 means x can take any value greater than -3, but not -3 itself. In interval notation, this is represented as (-3, ∞), which correctly indicates that -3 is not included.

CYU #3

What is the interval notation for the shown image?

• (-2, ∞)

• [-2, ∞)

• (-∞, -2)

• (-∞, 2)

Answer explanation

The inequality x > -3 means x can take any value greater than -3, but not -3 itself. In interval notation, this is represented as (-3, ∞), which correctly indicates that -3 is not included.