Inequality 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 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 inequality in interval notation.

• (-2,5)
• (-∞,-2) or (5,∞)
• [-2,5]
• (-∞,-2] or [5,∞)

Write the following in interval notation
x ≥ 100

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

Write the following in interval notation
 x < 8

• (8, ∞)
• (8, -∞)
• (-∞, 8)
• [-∞, 8]

Can you use the symbols [ or ]
with infinity?

• Yes
• No

What interval notation does the number line graph represent?

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

Write the inequality in interval notation. x > -1

• (-∞, -1)
• (-1, ∞]
• (-∞, -1]
• (-1, ∞)