Chapter Review 85- Of 26 students who are either females or biology majors, there are 17 females and 23
biology majors. How many females are biology majors?
(a) 12
(b) 17
(c) 14
(d) 9 - Describe each of the following sets in the format {x : property of x I.
(a) A = {0,2,4, 6, 8,...}
(b) B ={ 1,2,5, 10, 17,26,37,50,....
(c) C = {1,5,9, 13, 17, 21,...}
(d) D -{1, 1/2, 1/3, 1/4, 1/5,. .. )
(e) E = {lemon, lime, 1, 3, 5, 7, ....6. For U ={1, 2, 3,..., 9, 10},let A = {1, 2, 3, 4, 5), B = {1, 2, 4, 8}, C ={1, 2, 3, 5,
71, and D = {2, 4, 6, 8}. Determine the elements of each of the following sets(a) (AUB) nC
(b) AU(BAnC)
(c) CUD(d) CAD
(e) (AUB)-C
(f) AU(B-C)
(g) (B-C)-D
(h) B - (C - D)
(i) (A U B) - (C n D)- List the subsets of each of the following sets:
(a) A = {1, 2, 31
(b) B = {1, {2, 31}
(c) C = {{1, 2, 31)- Find a counterexample to A C B ý* A U B = A.
- List the first eight terms of the sequence defined as co = 1, Cl = 3, and c, = c, 1 I +
(^2) Cn-2 for n > 2.
- Let A be a subset of some universal set U. If A contains 58 elements and A contains
37 elements, how many elements are in U?
1.12.3 Review Questions
1. Let A={1,2,4,7,81, B={1,4,5,7,91, and C={3,7,8,9}. Let U=
{1, 2, 3, 4, 5, 6, 7, 8,9, 10). Find set expressions using these sets and the opera-
tions of union, intersection, absolute difference, and relative difference to represent
the following sets:
(a) {2, 7, 91
(b) {3, 5, 6, 7, 9, 10}