Question

If A = {0,1,2,3,4,5,6,7,8,9,10}, then insert the appropriate symbol or in each of the following blank spaces: 

i. 4 ……A 

ii. -4……A 

iii. 12…..A 

iv. 9…..A 

v. 0……A 

vi. -2……A

Answer 1

First of all it is important that you know what does (ϵ) this symbol means. In terms of mathematics it is used as belongs to () is used as does not belong to. 

i.4 ……A 

As 4 is there in Set A then we can say 4 belongs to A 

∴ 4 ϵ A 

ii. - 4……A 

As -4 is not there in Set A then we can say 4 does not belong to A 

∴ 4 A 

iii. 12…..A 

As 12 is not there in Set A then we can say 12 does not belong to A 

∴ 12 A 

iv. 9 ……A 

As 9 is there in Set A then we can say 9 belongs to A 

∴ 9 ϵ A

v. 0 ……A 

As 0 is there in Set A, then we can say 0 belongs to A 

∴ 0 ϵ A

vi.- 2 ……A 

As - 2 is not there in Set A then we can say - 2 does not belong to A 

∴ - 2 A