Set and Interval Notation

Interval Notation

An Alternative

Multiple Choice

Express the following in Interval Notation

-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Multiple Choice

Why do we not use closed parentheses/brackets for positive and negative infinity?

• Infinity is an idea/concept and not an actual number, so it can't be included

• False, we do in fact use closed parentheses/brackets for positive and negative infinity

• Huh?

• ???

Multiple Choice

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

Multiple Choice

Look at the picture. Select the correct interval notation for the given number line.

• (-∞, -8) U (-4, ∞)
• (-∞, -8] U [-4, ∞)
• (-8, -4)
• [-8, -4]

Multiple Choice

Look at the picture. Which graph best represents the solution set (-∞, -2) U (5, ∞)?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Multiple Choice

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

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

Multiple Choice

Write the following in interval notation
x > 6 and x ≤ 10

• (-∞, 6) and (10, ∞)
• [6, 10)
• (-∞, 6] and [10, ∞)
• (6, 10]

Multiple Choice

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)

Multiple Choice

Express the following interval in Set notation:
[14.2, 19.6)

• 14.2 ≤ x ≤ 19.6
• 14.2 < x ≤ 19.6
• 14.2 ≤ x < 19.6
• 14.2 < x < 19.6

Multiple Choice

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

• -7 ≤ x ≤ 15
• -7 < x ≤ 15
• -7 ≤ x < 15
• -7 < x < 15

Multiple Choice

Express the following interval in Set notation:
[3, 5]

• 3 ≤ x ≤ 5
• 3 < x ≤ 5
• 3 ≤ x < 5
• 3 < x < 5

Multiple Choice

Express the following in Interval Notation

-9 < x ≤ -4

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Multiple Choice

Express the following in Interval Notation

-9 < x ≤ -4

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Multiple Choice

What set notation does the number line graph represent?

• {x| x ≥-5 }
• {x| -5 ≥ x }
• {x| -5 ≥∞}
• {x| -5 ≤ x < ∞ }

Multiple Choice

Express the following interval in Set notation:
[3, 5]

• { x  | 3 ≤ x ≤ 5 }
• { x  | 3 < x < 5 }
• { x  | 3 ≤ x ≥ 5 }
• { x | 3 < x > 5 }

Multiple Choice

Express the following in Interval Notation
{ x  | -8 ≤ x < 8 }

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

Multiple Choice

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 }

Multiple Choice

Write the following solution in set builder notation:

x ≥ -2

• { x | x ≥ 2 }

• { x | x ≥ -2 }

• { x ≥ -2 }

• { x | x ≤ -2 }

Multiple Choice

Write the following solution in set builder notation:

x ≥ -2

• { x | x ≥ 2 }

• { x | x ≥ -2 }

• { x ≥ -2 }

• { x | x ≤ -2 }