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Questions:
9. (5 pts) True-False: which of the following are true? a. 2 ∈ {1,2,3} b. {2} ∈ {1,2,3} c. 2 ⊆ {1,2,3} d. {2} ⊆ {1,2,3} e. {2} ⊆ {{1},{2}} f. {2} ∈ {{1},{2}}
10. (5 pts) If Z represents all integers, and Z+ represents the positive integers, then let A = Z+, B = {n ∈ Z|0 ≤ n ≤ 100}, and C = {100,200,300,400,500}. Which of the following are true? a. C ⊆ B b. C is a proper subset of A c. C and B have at least one element in common d. B ⊆ A e. C ⊆ C
11. (5 pts) Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: A ∪ B
12. (5 pts) Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: b. A ∩ B
Answers:
Answer 9. True-False: which of the following are true?
a. 2 ∈ {1,2,3} -
TRUE
b. {2} ∈ {1,2,3} -
FALSE
c. 2 ⊆ {1,2,3} -
FALSE
d. {2} ⊆ {1,2,3} -
TRUE
e. {2} ⊆ {{1},{2}} -
FALSE
f. {2} ∈ {{1},{2}} -
TRUE
Answer 10. If Z represents all integers, and Z+ represents the positive integers, then let A = Z+, B = {n ∈ Z|0 ≤ n ≤ 100}, and C = {100,200,300,400,500}. Which of the following are true?
a. C ⊆ B -
FALSE
b. C is a proper subset of A -
TRUE
c. C and B have at least one element in common -
TRUE
d. B ⊆ A -
FALSE
e. C ⊆ C -
TRUE
Answer 11. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: A ∪ B
Answer 12. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: b. A ∩ B
As per Çℎḙḡḡ's policy only first four questions will be answered.
(No answers for #13 to #20)