Assessment 4 – Exam-Type Assessment PREP
1
Complete
Mark 2.00 out of 2.00
Consider the following sets, where U represents a universal set:
U = {a, {a, b}, c, d, {c, d}, e} A = {a, {c, d}, c} B = {{a, b}, c, d} C = {a, c, d, e}
Which of the following is not an element of Ƥ(B)?
Select one:
a. {c, d}
b. {{a, b}, d}
c. {{a, b}, c, d}
d. {a, b}
2
Complete
Mark 2.00 out of 2.00
Consider the following sets, where U represents a universal set:
U = {1, 2, {1}, {2}, {1, 2}} A = {1, 2, {1}} B = {{1}, {1, 2}} C = {2, {1}, {2}}.
Which one of the following statements is valid if x ∉ B U C?
(Hint: Determine U – (B U C).)
Select one:
a. x ∈ B and x ∈ C.
b. x ∈ Ø.
c. x ∈ {1, 2}.
d. x ∈ {1}.
,Question 3
Complete
Mark 2.00 out of 2.00
Consider the following sets, where U represents a universal set:
U = {a, {a, b}, c, d, {c, d}, e} A = {a, {c, d}, c} B = {{a, b}, c, d} C = {a, c, d, e}
The set B’ is:
Select one:
a. {a, {c, d}, e}
b. { }
c. {e}
d. {a, c, d, e}
4
Complete
Mark 2.00 out of 2.00
Consider the following sets, where U represents a universal set:
U = {a, {a, b}, c, d, {c, d}, e} A = {a, {c, d}, c} B = {{a, b}, c, d} C = {a, c, d, e}
B – A is the set:
Select one:
a. {a, {c, d}}
b. {{a, b}, d}
c. { }
d. {{a, b}, a, d}
5
Complete
Mark 2.00 out of 2.00
Let A = {{0}, 1, {1}}
Which one of the following alternatives regarding A is FALSE?
Select one:
a. {{1}} ⊂ A
b. {0} ∈ A
c. Ø ∈ Ƥ (A)}
d. 0 ⊂ A
, Question 6
Complete
Mark 0.00 out of 2.00
Consider the following sets, where U represents a universal set:
U = {a, b, c, d, e} A = {d, e} B = {a, b, c}.
Which one of the following statements regarding the sets U, A and B is TRUE?
Select one:
a. | Ƥ (U) | = | Ƥ (A) | + | Ƥ (B)|
b. A + B = U
c. U–A=A–U
d. Ø ⊂ Ƥ (A) and Ø ⊂ Ƥ (B)
7
Complete
Mark 0.00 out of 2.00
Let set A = {1, 2, {2}, {{1}, 3}} . Which one of the following is NOT a valid relation on A?
Select one:
a. {({1}, 3), (1, 2), ({2}, {2})}
b. {(1, 1), (1, 2), ({{1}, 3}, {2})}
c. {(2, {2})}
d. {({{1}, 3}, {{1}, 3})}
8
Complete
Mark 0.00 out of 2.00
Let A = {1, 2, {2}, c, {c, e}}.
Which one of the following sets is NOT a partition of A?
Select one:
a. { {1, {2}, c}, {2, {c, e}} }
b. { {1, c, {c, e}}, {2}, {{2}} }
c. { {{c, e}}, {1, 2}, {{2}, c} }
d. { {1, {2}}, 2, c, {{c, e}} }