Set Builder and Interval Notations Inequalities

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

• 3 ≤ x ≤ 5

• 3 < x ≤ 5

• 3 ≤ x < 5

• 3 < x < 5

Write the following in interval notation
x < 3 or x ≥ 5

• (3, -∞) or (∞, 5]

• [-∞, 3) or [5, ∞]

• (-∞, 3) or [5, ∞)

• (3, -∞] or [∞, 5]

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

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Write the set of numbers inset-builder notation.
(−∞, 5] or [14, ∞)

• {x∣x ≤ 5 or x > 14}

• {x∣x ≤ 5 or x ≥ 14}

• {x∣x < 5 or x > 14}

• {x∣x ≤ 5 or x > 14}

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
{ x  | -8 ≤ x < 8 }

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

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

• (-∞, -8) U (-4, ∞)

• (-∞, -8] U [-4, ∞)

• (-8, -4)

• [-8, -4]

Which method is used to designate the set { x | x ∈ N and x > 4 } ?

• Roster Method

• Descriptive Method

• Set-builder Notation

x | x is a natural number greater than 20 is :

• Finite Set

• Infinite Set

When graphing an inequality solution, what type of circle do I draw for the symbol: > or <

• open circle

• closed circle