You are watching: The complement of "at least one" is

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Take a cshed look at the figure above. d and also f are in U, but they are not in A.As such Ac = d, fSometimes, rather of looking at a the Venn Diagrams, it may be simpler to create down the aspects of both setsThen, we show in bold the facets that are in U, however not in AA = a, b, cU = a, b, c, d

Take a cshed look at the figure above. d and also f are in U, but they are not in A.As such Ac = d, fSometimes, rather of looking at a the Venn Diagrams, it may be simpler to create down the aspects of both setsThen, we show in bold the facets that are in U, however not in AA = a, b, cU = a, b, c, d

**f**

**Example #2.**

**Let B = 1 oarray, 1 pineapple, 1 banana, 1 apple Let U = 1 ovariety, 1 apricot**, 1 pineapple, 1 banana,

**1 mango**, 1 apple,

**1 kiwifruit**

**Aacquire, we present in bold all elements in U, yet not in BBc = 1 apricot, 1 mango, 1 kiwifruitExample #3.**

**Find the complement of B in UB = 1, 2, 4, 6 U = 1, 2, 4, 6, 7**,

**8**,

**9**

**Complement of B in U = 7, 8, 9Example #4.**Find the match of A in U A = x / x is a number bigger than 4 and also smaller than 8 U = x / x is a positive number smaller than 7 A = 5, 6, 7 and U = 1, 2, 3, 4, 5, 6Ac = 1, 2, 3, 4 Or Ac = x / x is a number bigger than 1 and also smaller than 5 The graph below mirrors the shaded area for the complement of set A

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