Question

D = {x| x + 10 is divisible by x} write in roster form​

Answer 1

Given :  D = {x| x + 10 is divisible by x}  

To Find :  write in roster form​

Solution:

x + 10  is divisible  by x

=> x + 10  = kx

=> x(k - 1)  =  10  

10 = 1 * 10  = 2 * 5

x = 1 , 2 , 5 , 10  

Roster form  { 1  , 2 , 5 , 10}

learn More

A= {x :x is a natural number, x2 < 16}

brainly.in/question/12089026

A={x:x is a prime factor of 210}B={x:x ≤10 and x € N, show that ...

brainly.in/question/13361272

Answer 2

SOLUTION

TO DETERMINE

To write in roster form

D = { x | x + 10 is divisible by x }

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

REPRESENTATION OF SET

A set can be represented in following ways

• Set Builder form

• Tabular or Roster form

EVALUATION

Here the given set is

D = { x | x + 10 is divisible by x }

So x + 10 is divisible by x

Here

Dividend = x + 10

Divisor = x

Remainder = 0

Let quotient = q

We know that

Dividend = Divisor × Quotient + Remainder

∴ x + 10 = qx

$\implies \sf{x(q - 1) = 10}$

Above it true when

x = - 10 , - 5 , - 2 , - 1 , 1 , 2 , 5 , 10

Hence the required Set in roster form is

D = { - 10 , - 5 , - 2 , - 1 , 1 , 2 , 5 , 10 }

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1.write the following sets in roster form N={x:x is odd number, 21<x<35,XEN

https://brainly.in/question/24185793

2. If A, B and C are any three sets

then prove the following using venn-diagram

A∩(BUC) = (A∩B) U (A∩C)

https://brainly.in/question/23234089