Question

A=(x:x is an integer x square = 4) in roster form

Answer 1

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

Given :

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

To find :

Roster form of A = { 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

A = { x : x is an integer , x² = 4 }

Step 2 of 2 :

Express in roster form

A = { 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 A = { - 2 , 2 }

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Answer 2

Answer:

Roster form of A={ - 2 , 2 }

Step-by-step explanation:

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

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

To find :Roster form of A = { x : x is an integer , x² = 4 }

Solution :

Step 1:-Write given set

A = { x : x is an integer , x² = 4 }

Step 2 :-A = { x : x is an integer , x² = 4 }

Now ,

$x^{2}$=4

⇒x=±$\sqrt{4}$

⇒x=±2

⇒x=-2,2

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

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