Question

Write the following sets in roster form and set builder form. 1) Set of even numbers 2)Set of real numbers satisfying 2x=3

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

1) Set of even numbers

Roster form: {2, 4, 6, 8, 10 ...... }

Set builder form: { x: x is even number, x ∈ R }  

2) Set of real numbers satisfying 2x=3

Roster form: { 3/2 }

Set builder form: { x : x ∈ R and 2x = 3 }

Given:

1) Set of even numbers

2)Set of real numbers satisfying 2x=3

To find:

Write the given sets in roster form and set builder form

Solution:

• In Roster form, all the elements will be listed directly

For example,A is a set of natural numbers less than 6.

Roster form of A = { 1, 2, 3, 4 }

• In Set builder form, the properties of elements will represented

without listing the elements. For example, B is a set of natural numbers from 5 to 15 then,

Set builder form of B = { x : x, 5 < x > 15 and x ∈ N}      

Roster form and set builder form of given sets

1)  Set of even numbers

Roster form: {2, 4, 6, 8, 10 ...... }

Set builder form: { x: x is even number, x ∈ R }  

2) Set of real numbers satisfying 2x=3

We have 2x = 3

                x = 3/2  

Roster form: { 3/2 }

Set builder form: { x : x ∈ R and 2x = 3 }

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