Inequalities in Interval Notation

Write the following in interval notation
 x < 8

• (8, ∞)

• (8, -∞)

• (-∞, 8)

• [-∞, 8]

When writing a solution in interval notation, the infinity symbol \infty always gets:

• [ ]

• ( )

Express the following in Interval Notation
 -9 < x ≤ -4 

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Express the following in Interval Notation
{ x | -9 < x ≤ -4 }

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Write the set of numbers inset-builder notation.
(22, 98]

• {x ∣ 22 < x ≤ 98 }

• {x ∣ 22 ≤ x ≤ 98 }

• {x ∣ 22 ≤ x < 98 }

• {x ∣ 22 < x < 98 }

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

• [-9, -8.5]

• [-9, -8.5)

• (-9, -8.5]

• (-9, -8.5)

Write the inequality in interval notation. x > -1

• (-∞, -1)

• (-1, ∞]

• (-∞, -1]

• (-1, ∞) 

Write the following in interval notation

x ≥ 100

• (0, 100]

• (∞, 100]

• [100, ∞)

• (∞, 100)

Which is the closest to " [ a, b) "

• All values between a and b, including both a and b

• All values between a and b, excluding both a and b

• All values between a and b, including a, but excluding b

• All values between a and b, including b, but excluding a

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

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15