Question

 { x|2x - 3 < 7 , x € W }​

Answer 1

Answer :

{ 0 , 1 , 2 , 3 , 4 }

Note :

★ Set : A well defined collection of distinct objects is called a set .

★ Method of representing a set :

a). Roster / Tabular / Listed form

b). Set Builder form

★ Roster form :

→ All elements are listed .

→ Elements are separated by commas .

→ Elements are enclosed within braces { } .

→ The order of writing elements doesn't matter .

→ The elements are not repeated

★ Set builder form :

→ The common properties of elements are written .

→ The elements is described using symbols like x , y , z (mostly x) .

→ Whole description of the elements are enclosed within braces { } .

Solution :

Let the given set be A , thus

A = { x | 2x - 3 < 7 , x € W }

Now ,

=> 2x - 3 < 7 , x € W

=> 2x < 7 + 3 , x € W

=> 2x < 10 , x € W

=> x < 10/2 , x € W

=> x < 5 , x € W

→ The whole numbers less than 5 are :

0 , 1 , 2 , 3 , 4 .

Thus ,

x = 0 , 1 , 2 , 3 , 4

ie ; x € { 0 , 1 , 2 , 3 , 4 }

Thus ,

The given set in roster form will be ;

A = { 0 , 1 , 2 , 3 , 4 }

Answer 2

Answer:

{0,1,2,3,4}

Step-by-step explanation:

as we know how to do linear equations , so same format is used here

=2x-3<7

=2x<7+3

=2x<10

=x=10/2

=x=5

therefore x is 5

the whole numbers are less than 5 those are including 0

that is

{0,1,2,3,4,}

HOPE this helps you