Mathematics

Mathematics, 23.10.2019 00:00, angeljaylyn123

Given the two sets, which statement is true?

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Mathematics, 10.07.2019 04:40, neash31

Let a and b be any two non-empty sets. is the following statement always true, sometimes true, or never true? if it is sometimes true, state the specific conditions regarding a and b under which the statement is true. in any case, fully explain your answer. (remember - neither set can be empty) a subsetorequalto (a intersection b)

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Mathematics, 18.07.2019 20:10, jokerr6323

Prove each statement that is true and ﬁnd a counterexample for each statement that is false. assume all sets are subsets of a universal set u. for or all sets a, b, and c, a∩(b−c) = (a∩ b)−(a∩c) hint: the statement is true. sketch of proof: if x ∈ a∩(b−c), then x∈a and x∈b and x∉c. so it is true that x∈a and x∈b and that x∈a and x∉c.conversely, if x ∈ (a∩ b)−(a∩c), then x∈a and x∈b, but x ∉ a∩c, and so x∉c.

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Mathematics, 14.09.2019 03:30, bertrandcherlan

Let a, b and c be arbitrary sets. one of the following statements is true, and one is false. draw venn diagrams for each side of each statement. give a careful proof of the statement which is true, and provide a specific counterexample to the statement which is false. (this a, b and c, and explain why, for the a, b and c you have specified, the statement is false.) means that for the statement which is false, you should specify the sets (a) (a\b)u (c\ b) = (an b)\ c (b) (au b)\ (an b) (a\ b)u (b\ 4).

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Mathematics, 03.10.2019 04:00, Nathaliasmiles

In each part, decide if the statement is true. if it is true, prove it. if it is not true, give an explicit counterexample and demonstrate that your counterexample really is one. (a) for any sets a, b and c, a ∩ b ⊆ c if and only if either a ⊆ c or b ⊆ c. (b) for any sets a, b and c, a ⊆ b ∩ c if and only if both a ⊆ b and a ⊆ c

Answers: 1

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