Set Theory

Question 1

How many subsets exist for the given set?

A= { Mary, Harry, Larry, Berry}

Answer 1

16

We use the law:
2 to the power of k elements.
2 to the power of 4 = 16

Question 2

Determine whether the sets are “equal” or “equivalent” :

{ 6, 17, 55 } , { G, H, Z}

Answer 2

Equivalent .

Because they only have the same number of elements.

Question 3

Find the union of the two sets:
A = {1, 3 , 5, 6, 8}
B = {2, 3, 6, 7, 8}

Answer 3

A U B = { 1, 2, 3, 5, 6, 7, 8}

Question 4

Find the intersection of the two sets:
A = {1, 3, 5, 6, 8}
B = {2, 3, 6, 7, 8}

Answer 4

A ∩ B = { 3, 6, 8}

Question 5

What is a “set” ?

A. Collection of objects
B. Well-defined collection of objects
C. Elements of the set
D. Descriprion
E. Collection

Answer 5

B. Well-defined collection of objects