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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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