Set Notation & Language Exercise

Given the set A = {Prime Numbers less than 8}. Find n(A)

• 8

• Infinity

• 4

• 3

Answer explanation

A = {2, 3, 5, 7}

Infinite sets are sets with infinite number of elements.

Which of these sets are infinite sets? (You can pick more than 1 answer)

• A = {All negative integers}

• B = {Prime Numbers less than 2}

• C = {Even Prime Numbers larger than 5}

• D = {Even Numbers}

Answer explanation

A = {-1, -2, -3, ...} Ans

B : All Prime Numbers are positive. n(B) = 0

C: There is only ONE even prime number, which is 2. n(C) = 1

D: {2, 4, 6, 8, ...} Ans

Let P = {x:x is a positive integer less than 5} and Q = {1, 2, 3, 4}.

Describe the relationship of sets P & Q using '⊂', or '='.

(a)  

Answer explanation

P = {1, 2, 3, 4}

Let A be a set such that n(A) = φ.

Based on the information given,

we can say that set A is a/an (a)   set

Given that the sets K = {n, u, m, b, e, r, s}, and H = {b, r, e, a, k}.

Find K∩H. [Please include {} in your answer.]

(a)  

Let A = {1, 3, 8, 9} and B = {2, 3, 4, 8, 9}.

Find n(A∪B).

(a)  

Answer explanation

A∪B = {1, 2, 3, 4, 8, 9}

n(A∪B) = 6

• P' = {1, 3, 7, 9}

• P' = {1, 3, 5, 7, 9}

• P' = {1, 3, 5, 7}

• P' = {2, 4, 6, 8}

Study the Venn Diagram.

Find n (Vectors ∩ Mechanics).

• 2

• 6

• 4

• 3

Study the Venn Diagram of two sets A & B.

Then, sets A & B are called _______ sets.

• Disconnected

• Disjoint

• Unequal

• 7

• 4

• 0

• 3