Question

write in roster form{x : x = n² , n € W and n ≤ 4​

Answer 1

Step-by-step explanation:

Given :-

{x : x = n^2 , n € W and n ≤ 4}

To find:-

Write the roster form of the given set ?

Solution:-

Given set {x : x = n^2 , n € W and n ≤ 4}

Given that n € W and n ≤ 4

The possible values of n = 0,1,2,3,4

I) If n = 0 then x = n^2=> 0^2 = 0

ii) If n = 1 then x = n^2=> 1^2 = 1

iii) If n= 2 then x = n^2 => 2^2 = 4

iv) If n= 3 then x= n^2 => 3^2= 9

v) If n= 4 then x = n^2=> 4^2 = 16

The possible values of x = 0,1,4,9,16

roster form = { 0,1,4,9,16}

Answer:-

The roster form of the given set is { 0,1,4,9,16 }

Additional information:-

• Every set can be represented as roster form, builder form and in Venn diagrams.
• in Roster form, writting the elements in list and seperating them with commas within the braces .
• In set builder form writting the common property of the elements.