Interval Notation Worksheet
A Grade 12 Math worksheet focusing on understanding and applying interval notation for various sets of real numbers.
Includes
Standards
Interval Notation Practice
Name:
Date:
Score:
Read each question carefully and provide your answer using interval notation where appropriate. Show all your work for full credit.
1. Express the following inequalities using interval notation:
a) x > 5
b) x ≤ -2
c) -3 < x ≤ 7
d) x ≠ 0
2. Graph the following intervals on the number line provided and write the corresponding inequality:
a) (-∞, 4]
b) (-1, 6)
3. Match each description with its correct interval notation.
1. All real numbers greater than or equal to 0
a. (-∞, 5)
2. All real numbers between -2 and 3, inclusive
b. [0, ∞)
3. All real numbers less than 5
c. [-2, 3]
4. All real numbers except 1
d. (-∞, 1) U (1, ∞)
4. Fill in the blanks with the correct interval notation for the union or intersection.
a) If A = [1, 5) and B = (3, 7], then A ∪ B =
b) If C = (-∞, 4] and D = [-1, ∞), then C ∩ D =
c) If E = (-3, 0) and F = [0, 2), then E ∪ F =
5. Which of the following represents the set of all real numbers x such that x < -3 or x ≥ 2?
(-3, 2]
[-3, 2)
(-∞, -3) U [2, ∞)
(-∞, -3] U (2, ∞)