1. Problems: Sets

Question 1

Ø ∈ {Ø}?

Answer 1

True

Question 2

Ø ∈ Ø?

Answer 2

False

a set CANNOT be an element of a set

Question 3

Ø ⊆ {5}?

Answer 3

True

Question 4

{2} ⊆ {{2}}?

Answer 4

False

{2} is an element of {{2}}, not a subset

Question 5

{2} ∈ {{2}}?

Answer 5

True

Question 6

{3, {3}} ≠ {3}?

Answer 6

True

Question 7

{1}={1,1,1}?

Answer 7

True, duplicates get counted as the same element

Question 8

{1,2}={2,1}?

Answer 8

True, order doesn’t matter

Question 9

{5,4,4,3,5}={3,4,5}?

Answer 9

True

Question 10

{3,3,4} ⊆ {3,4}?

Answer 10

True

Question 11

If B = Ø , then |B| = ?

Answer 11

0

empty sets have 0 elements

Question 12

|A| = n, | P(A) | = ?

Answer 12

2^n

the power set contains all subsets of the given set