Question

Some sets are given below. 

A ={…,-4, -2, 0, 2, 4, 6,…} 

B = {1, 2, 3,…} 

C = {…,-12, -6, 0, 6, 12, 18, } 

D = {…, -8, -4, 0, 4, 8,…} 

I = {…,-3, -2, -1, 0, 1, 2, 3, 4, } 

Discuss and decide which of the following statements are true. 

a. A is a subset of sets B, C and D. 

b. B is a subset of all the sets which are given above.

Answer 1

a. All elements of set A are not present in set B, C and D. 

∴ A ⊆ B, 

∴ A ⊆ C,

∴ A ⊆ D 

∴ Statement (a) is false. 

b. All elements of set B are not present in set A, C and D. 

∴ B ⊆ A, 

∴ B ⊆ C, 

∴ B ⊆ D 

∴ Statement (b) is false.