Compound Inequalities and Interval Notations

Write in interval notation.

Write the following in interval notation

x < 8

• [8, ∞)

• (8, -∞)

• (-∞, 8]

• (-∞, 8)

Write the following in interval notation
x ≥ 100

• (0, 100]  

• (∞, 100]

• [100, ∞)

• (∞, 100)

• [0, 3]

• (0, 3)

• [0, 3)

• (0, 3]

Convert into its interval notation:

• (-1, 4)

• [-1, 4]

• (-1, 4]

• [-1, 4)

• (5, 11]

• [5, 11]

• (5, 11)

• [5, 11)

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

What is the interval notation for the solution graphed here?

• [-2, 5)

• (-2, 5]

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

• Graph 1

• Graph 2

• Graph 3

• Graph 4