Question

Use Rule Method and tell why the Roster Method is difficult or impossible.
(4items x 2points)
The counting numbers greater than 100 -
The books in Library of Congress -
Set of counting numbers from 5 to 1000 -
The student enrolled in your school -

Answer 1

Given :  The counting numbers greater than 100 -

The books in Library of Congress -

Set of counting numbers from 5 to 1000 -

The student enrolled in your school -

To Find : represent the set by rule method

Explain why Roster Method is difficult or impossible.

Solution:

In Roster method , all the elements of set are listed inside { }

Roster method can be applied only on finite sets.

For Infinite sets , roster method is impossible

Also if number of elements are quite high then its difficult to list all the elements,

The counting numbers greater than 100   are Infinite

Hence impossible to use roster method

Set builder form / Rule method

A = { x :  x ∈ N  ,  x > 100}

The books in Library of Congress -

Volume of books is quite high so difficult to use roster method

B = { x :  x is book in  Library of Congress }

Set of counting numbers from 5 to 1000

there are 996 numbers hence difficult to list down in roster method

C = { x :  x ∈ N  ,  5 ≤ x ≤ 1000}

The student enrolled in your school

Number of students enrolling is very high  Hence difficult to list down in roster method

D = { x :  x is student enrolled in your school }

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Answer 2

Answer:

In Roster method, all the elements of set are listed inside {} Roster method can be applied only on finite

sets.

For Infinite sets, roster method is impossible

Also if number of elements are quite high then its difficult to list all the elements,

The counting numbers greater than 100 Infinite are

Hence impossible to use roster method

Set builder form / Rule method

A = {x: xEN , x > 100}

The books in Library of Congress -

Volume of books is quite high so difficult to use roster method B = { x: x is book in Library of Congress }

Set of counting numbers from 5 to 1000

there are 996 numbers hence difficult to list down in roster method hence difficult to list down in roster method

C = {x: xEN, 5 ≤ x ≤ 1000}

The student enrolled in your school Number of students enrolling is very high Hence difficult to list down in roster method

D={x: x is student enrolled in your school}.