Question

The set Q={x/x is an integer and -4<x<4} in the roster method is________ *

1 point

{-4,-3,-2,-1,0,1,2,3,4}

{-4,4}

{-3,-2,-1,0,1,2,3}

{1,2,3}

​

Answer 1

Answer:

Q={-3,-2,-1,0,1,2,3}

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Answer 2

Answer :

{ -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Note :

★ Set : A well defined collection of distinct objects is called a set .

★ Cardinal number / Cardinality : The number of elements/members/objects in a finite set is called cardinal no. / Cardinality .

→ Cardinal no. of a finite set A is denoted by n(A) .

★ Method of representing a set :

a). Roster / Tabular / Listed form

b). Set Builder form

★ Roster form :

→ All elements are listed .

→ Elements are separated by commas .

→ Elements are enclosed within braces { } .

→ The order of writing elements doesn't matter .

→ The elements are not repeated

★ Set builder form :

→ The common properties of elements are written .

→ The elements is described using symbols like x , y , z (mostly x) .

→ Whole description of the elements are enclosed within braces { } .

Solution :

Here ,

The given set is set builder form is ;

Q = { x | x is an integer and -4 < x < 4 }

We know that ,

The integers lying between -4 and 4 (excluding -4 and 4) are -3 , -2 , -1 , 0 , 1 , 2 and 3 .

Thus ,

The given set in roster form will be given as ;

Q = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Hence ,

Q = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }