Question

B ={x :x is an integer, x^2= 4} Write in roster form

Answer 1

Roster form of B = { x : x is an integer , x² = 4 } is B = { - 2 , 2 }

Given :

The set B = { x : x is an integer , x² = 4 }

To find :

Roster form of B = { x : x is an integer , x² = 4 }

Concept :

Set :

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

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

Solution :

Step 1 of 2 :

Write down the given set

Here the given set is

B = { x : x is an integer , x² = 4 }

Step 2 of 2 :

Express in roster form

B = { x : x is an integer , x² = 4 }

Now we have ,

$\displaystyle \sf{ {x}^{2} = 4 }$

$\displaystyle \sf{ \implies x = \pm \sqrt{4} }$

$\displaystyle \sf{ \implies x = \pm 2 }$

$\displaystyle \sf{ \implies x = - 2,2}$

We know that in roster form the elements are enclosed in curly brackets after separating them by commas

Hence the required roster form is given by B = { - 2 , 2 }

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ consider the above set A. Insert the appropriate symbol E of E/ in each of the following blank spaces (a) -3...A (b) 9...

https://brainly.in/question/28046206

2. if A ={2,3} and B= { x|x is solution of x^2 + 5x + 6= 0}

Are there A and B equal set or disjoint set?

https://brainly.in/question/21681247

#SPJ3