Representation of sets and ex 1.1 ncert questions

 Representation of sets:

1) Roaster or Tabular form

=> A={1,2,3,4,5}

2) Set Builder or property form

=> A= { x: 5>=x>=1 , x∊N}

or this can be written as A={ x:x∊N, x<=5}

This is read as = set A contains all  those x, such that x is greater than or equal to 1 and less than equal to 5 and x is a Natural number.

In hindi it will be read as = set A meh woh sareh x hongeh jo 1 and 5 ke beech ke ho including 1 and 5 aur natural number bhi ho.

3) Visual Representation

4) Write A={2,4,6,8} in set builder form

=> A= {2n : n∊ N , n<=4} 

2x1 = 2

2x2 = 4

2x3= 6

2x4= 8

5) Write the set A={1,4,9,16,25,....} in set builder form

=> A={ x²: x∊N}

1² = 1

2²= 4

3²=9

4²=16

5²= 25

and so on

6) Write the set { x: x is a positive integer and x³<100} in roaster form

=> {1,2,3,4}

because

1³ = 1< 100

2³ = 8 <100

3³ = 27<100

4³ = 64<100

5³ = 125 not less than 100

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