Set Builder Notation and Inequalities

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

• [ ]

• ( )

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

Express the following in Interval Notation
-8 ≤ x < 8

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

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

• [-4, -1)
• (-4, -1)
• (-4, -1]
• [-4, -1]

What is the domain?

• (-3 , 3)
• [-4, 5]
• (-4, 5)
• (-3, 3]

What is the range of the graph?

• [1, ∞)
• (1, ∞)
• (-∞, ∞)
• none of these

Given {x| x ≥ 6}, the domain of a function in set builder notation, which of the following rewrites it in interval notation?

Write the following range in set builder notation:

(4, ∞).

• {y | y > 4}

• {y | y > 4}

• {x | x < 4}

• {x | x > 4}

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

• (-2,5)
• (-∞,-2)⋃(5,∞)
• [-2,5]
• (-∞,-2]∪[5,∞)

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

• (3, -∞) or (∞, 5]
• [-∞, 3) or [5, ∞]
• (-∞, 3) or [5, ∞)
• (3, -∞] or [∞, 5]