Question

{x : x is a multiple of 3 , x€N }---- write in descriptive form and roster form.

Answer 1

Answer:

Given form is called Set builder form.

The roster form is

{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45.....................}

That means the set builder form gives the brief description of the given set and the roster form gives the information about the terms in that set...

HOPE THIS WILL BE HELPFUL...

Answer 2

Answer:

The representation of the set {x : x is a multiple of 3, x€N }

In descriptive form: {The natural numbers which are multiples of 3}

In roster form: {3,6,9,12,..................}

Step-by-step explanation:

Let A be the set {x : x is a multiple of 3 , x€N }

Here the set is represented in the set builder form.

Required to represent the set in descriptive form and roster form

Solution:

In the descriptive form, the elements of a set are represented as a statement enclosed inside the curly brackets

Then the set A can be expressed in descriptive form as

A = {The natural numbers which are multiples of 3}

In the roster form, the elements of the set are listed separated by a comma and enclosed in curly brackets

Then, set A can be represented in roster form as

A = {3,6,9,12,..................}

∴The representation of the set {x : x is a multiple of 3, x€N }

In descriptive form: {The natural numbers which are multiples of 3}

In roster form: {3,6,9,12,..................}

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