Interval Notation Inequalities

Express the following interval as an inequality:

[3, 5]

• 3 ≤ x ≤ 5

• 3 < x ≤ 5

• 3 ≤ x < 5

• 3 < x < 5

When writing a solution in interval notation, what brackets do i use for: > or <

• [ ]

• ( )

When writing in interval notation, what kind of brackets do I use for: or ≤ or ≥

• [ ]

• ( )

Solve the following compound inequality:

0 < x + 7 < 9

• −7 < x and x < 2

• −7 < x or x < 2

• −7 > x and x > 2

• −7 > x or x > 2

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Express the following in Interval Notation
-9 < x < -8.5

• [-9, -8.5]

• [-9, -8.5)

• (-9, -8.5]

• (-9, -8.5)

Write the following in interval notation

x ≥ 100

• (0, 100]

• (∞, 100]

• [100, ∞)

• (∞, 100)

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

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Which of the following numbers is not in the interval (3, 9]?

• 3

• 3.14

• 7

• 9

Pick the correct letter for:
6 > x

• A

• B

• C

• D