Set and Interval Notations (1B-S2021)

Write the following in interval notation

-7 ≤ x < 8

• (-7, 8)

• [-7, 8)

• [-7, 8]

• (-7, 8]

• (8, -7]

Write the following in interval notation
 x < 8

• (8, ∞)

• (8, -∞)

• (-∞, 8)

• [-∞, 8]

Look at the picture. Which number line corresponds to [-2, 5]?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Express the following interval in Set notation:
[3, 5]

• 3 ≤ x ≤ 5

• 3 < x ≤ 5

• 3 ≤ x < 5

• 3 < x < 5

Express the following interval in Set notation:
(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

Write the following in interval notation
x ≥ 100

• (0, 100]  (Real quick)

• (∞, 100]

• [100, ∞)

• (∞, 100)

Write the following range in set builder notation:

(4, ∞).

• {y | y > 4}

• {y | y > 4}

• {x | x < 4}

• {x | x > 4}

In set notation, the infinity symbols are not used. Instead "_____" is used to represent a graph that uses all real numbers.

• R

• Z

• I

• A

When writing a solution in interval notation, what grouping symbol do I use for:

> or <

• [ ]

• ( )

When writing in interval notation, what kind of grouping symbol do I use for:

≤ or ≥

• [ ]

• ( )