Name
3-5
Class
Date
Practice
Form G
Working With Sets
Write each set in roster form and in set-builder notation.
1. M is the set of integers that are greater than −5.
2. N is the set of even numbers that are less than 2.5.
Write each set in set-builder notation.
3. B = {−3, −2, −1, 0, 1, …}
4. M = {2, 4, 6, 8, 10}
Write the solutions of each inequality in set-builder notation.
5. −3(2x − 4) − 1 < −25 + 6x
6. − (x − 1) + 5 ≥ −10 − 3x
List all the subsets of each set.
List all the subsets of each set.
{car, bus, truck}
7.
8.
{−5, 5}
9. Suppose U = {0, 2, 4, 6, 8, 10} is the universal set and A = {2, 4, 6}. What is A' ?
10. Suppose U = {… , −5, −3, −1, 3, 5, … } is the universal set and
R = {1, 3, 5, …}. What is R'?
Solve each compound inequality. Graph your solutions.
11.
5 < k − 2 < 11
12.
6b − 1 ≤ 41 or 2b + 1 ≥ 11
Write each inequality or set in interval notation. Then graph the interval.
13. x < −2 or x ≥ 1
14. −3 ≤ x < 4
Write a compound inequality that each graph could represent.
15.
16.
Solve each compound inequality.
17. 3r + 2 < 5 or 7r − 10 > 60
18. 3 > −0.25v > −2.5