Question

If the set S in each part is finite, write down | S |.
i S = { primes }
ii S = { even primes }
iii S = { even primes greater than 5 }
iv S = { whole numbers less than 100 }

Answer 1

Answer:

Write the following sets in roster form.

(i) Set of even numbers

(ii) Set of even prime numbers from 1 to 50

(iii) Set of negative integers

(iv) Seven basic sounds of a sargam (sur)

ANSWER:

(i) A = {..., −6, −4, 0, 2, 4, 6, ...}

(ii) B = {2}

(iii) C = {..., −5, −4, −3, −2, −1}

(iv) D = {SA, RE, GA, MA, PA, DHA, NI}

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Answer 2

S = { 2,3,5,7,11,........ }

S = { 2 }

S = { 5,7,11,13,17,........ }

S = { 0,1,2,3,4,..........,99 }

Given:

i S = { primes }

ii S = { even primes }

iii S = { even primes greater than 5 }

iv S = { whole numbers less than 100 }

To find:

| S |

Solution:

• A set is a collection of well defined objects or elements which can be finite or infinte.
• A set can be expressed in the form of words or in the form of elements of that set.

i S = { primes }

Since, there are infinte prime numbers.

So, the set will be infinite.

S = { 2,3,5,7,11,........ }

ii S = { even primes }

Since, there is only one even prime number.

So, the set will be finite.

S = { 2 }

iii S = { even primes greater than 5 }

Since, there are infinte prime numbers greater than 5.

So, the set will be infinite.

S = { 5,7,11,13,17,........ }

iv S = { whole numbers less than 100 }

Since, there are 99 whole numbers less than 100.

So, the set will be finite.

S = { 0,1,2,3,4,..........,99 }

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