Set and Relation

Which of the following is an example of a finite set?

• A set of all points on a line

• A set of all integers

• A set of months in a year

• A set of all whole numbers

What is the term for a set that contains no elements?

• Universal set

• Equal set

• Subset

• Empty set

Which of the following is an example of an infinite set?

• Q = {a : a is an integer, 1 < a < 10}

• A set of all whole numbers

• A set of months in a year

• P = {0, 3, 6, 9, ..., 99}

Given that set P={N, I, G, H, T, M, A, R, E, S}. State the value of n(P).

• 8

• 11

• 10

Identify the compliment for set B in Figure 2.

• B’ = { 2,4,5,6,7,8,10}

• B’ = { 2,4,6,8,10}

• B’ = { 1,3,5,7,9}

Consider the following relations on set A={1,2,3}. Determine the properties of relation shown in Figure 4 are reflexive and symmetric or not.

• Reflexive = Yes, Symmetric = Yes

• Reflexive = Yes, Symmetric = No

• Reflexive = No Symmetric = No

Choose which of the following answer have the reflexive relation on the set A, where set A= {2,4, 6, 8}.

• R1 = {(2, 4), (2, 6), (2, 8), (2,4)}

• R2= {(2, 4), (2, 6), (2, 8), (4, 8)}

• R3 = {(2, 2), (4, 4), (6, 6), (8, 8)}

Given the relation, R4 = {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}. Choose a suitable graph to represent R4.

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Identify the symbol of set operation for the shaded region as shown in Figure 1.

• A Ս B

• A ∩ B

• A’ ∩ B

Name the type of relation illustrated in Figure 2.

• Symmetric

• Reflexive

• Transitive