Set Notation WS - Practice

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Name: ________________________
Mr. Art
Date: ______________________
Period: ____________________
Practice with Set Notation
1) Which interval notation represents the set of all numbers from 2 through 7,
inclusive?
(1) (2,7]
(3) [2,7)
(2) (2,7)
(4) [2,7]
2) How would you represent the inequality x < 13 or x > 13 in interval notation?
3) How would you represent the inequality x < 0 or 2 < x < 10 in interval notation?
4) Consider the set of integers greater than -2 and less than 6.
a) Write this set in roster form
b) A subset of this set is the positive factors of 5. Write the subset in roster
form.
c) What is the complement of this subset?
(1) {0, 2, 3, 4}
(3) {-2, -1, 0, 2, 3, 4, 6}
(2) {-1, 0, 2, 3, 4}
(4) {-2, -1, 0, 1, 2, 3, 4, 5, 6}
5) Write in roster form the elements of the sets in set-builder notation below:
a) {x | 4 ≤ x < 7}
b) {x the set of whole numbers | x < 3}
6) Maureen tracks the range of outdoor temperatures over three days. She records
the following information.
Express the intersection of the three sets as an inequality in terms of temperature, t.
7) Given:
Set A  {( 2,1),( 1,0),(1,8)}
Set B  {( 3,4),( 2,1),( 1,2),(1,8)}.
What is the intersection of sets A and B?
(1) {(1,8)}
(2) {(–2,–1)}
(3) {(–2,–1), (1,8)}
(4) {(–3,–4), (–2,–1), (–1,2), (–1,0), (1,8)}
8) Twelve players make up a high school basketball team. The team jerseys
are numbered 1 through 12. The players wearing the jerseys numbered
3, 6, 7, 8, and 11 are the only players who start a game. Using roster
notation, list the complement of this subset.
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