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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»

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.



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