Section SV.2 – Solutions to the Practice Problems

1.  {1, 2, 3, 4, 7, 9, 10}

2. {orange, yellow, purple}

3. {2, 8, 12, 14}

4.

a. {2, 3, 5, 7, 10, 11, 12, 13, 14, 16, 17, 19, 20}
b. {5, 10, 13, 14, 16, 19}
c. {20}

5.

a. {1, 4, 5, 6, 8, 11, 12, 14, 15, 16, 17, 18}
b. {11, 12, 16}
c. {6, 14, 17, 18}

6.

a. {1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 19, 20}
b. {9, 12, 14}
c. {5, 17, 19, 20}

7.

a. {2, 3, 5, 6, 8, 10}
b. {  } or ∅
c. {5}
d. {1, 4, 7, 9}
e. {1, 2, 4, 5, 6, 7, 9}
f. {3, 8, 10}

8.

a. A
b. ∅

9.

a. {s, t}
b. {c, k}
c. {a, b, k, t, h}
d. {a, b, k}
e. {b, c, k}
f. {h}
g. {c, k, t, s}

10.

a. A ∩ B ∩ C

b. A ∪ B

c. A̅ ∩ C̅ or [latex]\overline{A~\cup~C}[/latex] (answers may vary)