Compound Inequalities and Interval Notations

Express the following in Interval Notation

-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Express the following in Interval Notation

-9 < x ≤ -4

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Express the following interval as an inequality:

(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

Write the following in interval notation
x ≥ 100

• (0, 100] 
• (∞, 100]
• [100, ∞)
• (∞, 100)

What interval notation does the number line graph represent?

• [∞, -5)
• (∞, -5)
• [-5, ∞)
• (-5, ∞)

Solve the inequality.

12 ≥ 15 - 6y

• y ≤ ½

• y ≤ 2

• y ≥ ½

• y ≥ 2

5z - 2 < 13 + 2z

• (5, ∞)

• (-∞, 5)

• (1, ∞)

• (-∞, 1)

Which is a solution of...

5(v + 3) > 10 v - 10

• (-∞, 5)

• (5, ∞)

• (-5, ∞)

• (-∞, -5)

-2x +  5 > 15

• x > -5
• x < -5
• x = 5
• x is greater than or equal to -5