Exercise # 2.2 Q1 to Q4( Sets )|| Rosen Discrete Mathematics 7th Edition|| M.Owais

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1. Let A be the set of students who live within one mile
of school and let B be the set of students who walk to
classes. Describe the students in each of these sets.
a) A ∩ B b) A ∪ B
c) A − B d) B − A
2. Suppose that A is the set of sophomores at your school
and B is the set of students in discrete mathematics at
your school. Express each of these sets in terms of A and
B.
a) the set of sophomores taking discrete mathematics in
your school
b) the set of sophomores at your school who are not taking discrete mathematics
c) the set of students at your school who either are sophomores or are taking discrete mathematics
d) the set of students at your school who either are not
sophomores or are not taking discrete mathematics
3. Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find
a) A ∪ B. b) A ∩ B.
c) A − B. d) B − A.
4. Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}.
Find
a) A ∪ B. b) A ∩ B.
c) A − B. d) B − A.

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