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A collection of all even natural numbers can be represented as(in set builder form) ___ |
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A set containing only one element is called a singleton set. Example:A={7} is a singleton set |
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If a set has n elements, the number of subsets is given by ___ and the number of proper subsets is given by ___. |
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True or False: If set C = {2, 4, 6} and set D = {2, 4, 6, 8}, then set D is a proper subset of set C. |
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False. Set D is not a proper subset of set C because it has an additional element (8) that is not in set C. |
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If A = {1, 3, 5, 7} and B = {2, 4, 6, 8}, then the universal set N that contains all elements of A and B is ___ |
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If set A has 5 elements and set B has 3 elements, with 2 elements common to both sets, how many unique elements are there in the union of sets A and B? |
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The number of unique elements in the union of sets A and B is calculated as follows: |A ∪ B| = |A| + |B| - |A ∩ B|. Thus, |A ∪ B| = 5 + 3 - 2 = 6. |
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The union of sets A and B is represented as A ∪ B, and it includes all elements from both sets. True or False? |
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If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}, then A ∩ B = ___ and A – B = ___. |
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The intersection of two sets A and B consists of elements that are ___ in both sets. |
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If f(x) = 2x + 3 and f: R → R, then f is |
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