Write the following set in Roster form- B-p - p- W and p2 - 20-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Roster Form

Write the fol...

Question

Write the following set in Roster form:
$B = {p : p \in W$ and $p^{2} < 20}$ .

Open in App

Solution

In Roster form, we write the set with the elements within curly brackets with no elements repeating.
Satisfying $p^{2} < 20$ , where $p$ is whole number, we have, $p^{2} = 0, 1, 4, 9, 16$
$\Rightarrow p = 0, 1, 2, 3, 4$
Hence required set $B = {0, 1, 2, 3, 4}$

Suggest Corrections

Similar questions

Write the following sets in Roster form: (i) The set of letters in the word 'MEERUT' (ii) The set of letters in the word 'UNIVERSAL' (iii) $A = {x : x = y + 3, y \in N a n d y > 3}$ (iv) $B = {p : p \in W a n d p^{2} < 20}$ (v) $C = {x : x is composite number and~ 5 \leq x \leq 21}$

Write the following sets in the tabular form :

{p:p=3n+1,where n belongs to W and 2<=n<=5}

Q. Write the following set

{x : x = 2 n + 1 a n d n \in N}

in roster form

Q. Write the set

A = {x ϵ z, x^{2} < 20}

in the roster form

Q. Express set

B = {X^{2} : X > 4, X \in W}

in roster form

Join BYJU'S Learning Program

Write the following set in Roster form:B={p:p∈W and p2<20}.

In Roster form, we write the set with the elements within curly brackets with no elements repeating.Satisfying p2<20, where p is whole number, we have, p2=0,1,4,9,16 ⇒p=0,1,2,3,4Hence required set B={0,1,2,3,4}

Write the following set in Roster form:
$B = {p : p \in W$ and $p^{2} < 20}$ .

In Roster form, we write the set with the elements within curly brackets with no elements repeating.
Satisfying $p^{2} < 20$ , where $p$ is whole number, we have, $p^{2} = 0, 1, 4, 9, 16$
$\Rightarrow p = 0, 1, 2, 3, 4$
Hence required set $B = {0, 1, 2, 3, 4}$