Chapter 1 Set Language Ex No 1.1

Identify the following is set?

The collection of prime numbers upto 100.

Solution

A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97}

As the collection of prime numbers upto 100 is known and can be counted (well defined).

Hence this is a set.

Identify the following is set?

The collection of rich people in India.

Solution

The collection of rich people in India.

Rich people has no definition.

Hence, it is not a set.

Identify the following is set?

The Collection of all rivers in India.

Solution

A = {Cauvery, Sindhu, Ganga}

Hence, it is a set.

Identify the following is set?

The Collection of good Hockey players.

Solution

The collection of good hockey players is not a well – defined collection because the criteria for determining a hockey player’s talent may vary from person to person.

Hence, this collection is not a set.

List the set of letters of the following words in Roster form.

INDIA

Solution

A = {I, N, D, A}

List the set of letters of the following words in Roster form.

PARALLELOGRAM

Solution

B = {P, A, R, L, E, O, G, M}

List the set of letters of the following words in Roster form. 

MISSISSIPPI

Solution: 

C = {M, I, S, P}

List the set of letters of the following words in Roster form.

CZECHOSLOVAKIA

Solution

D = {C, Z, E, H, O, S, L, V, A, K, I}

State Whether True or False