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FUNDAMENTOS DE COMPUTACION

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Given a universal set U=\{0,1,2,3,4,5,6,7,8,9\}U=\{0,1,2,3,4,5,6,7,8,9\}, a set A=\{1,2,3,4\}A=\{1,2,3,4\}, and a set B=\{2,4,6,8\}B=\{2,4,6,8\}.

Choose a set that is equal to the following set:

B - AB - A

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Given a universal set U=\{0,1,2,3,4,5,6,7,8,9\}U=\{0,1,2,3,4,5,6,7,8,9\}, a set A=\{1,2,3,4\}A=\{1,2,3,4\}, and a set B=\{2,4,6,8\}B=\{2,4,6,8\}.

Choose a set that is equal to the following set:

A - BA - B

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Given a universal set U=\{0,1,2,3,4,5,6,7,8,9\}U=\{0,1,2,3,4,5,6,7,8,9\}, a set A=\{1,2,3,4\}A=\{1,2,3,4\}, and a set B=\{2,4,6,8\}B=\{2,4,6,8\}.

Choose a set that is equal to the following set:

\overline{B}\overline{B}

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Given a universal set U=\{0,1,2,3,4,5,6,7,8,9\}U=\{0,1,2,3,4,5,6,7,8,9\}, a set A=\{1,2,3,4\}A=\{1,2,3,4\}, and a set B=\{2,4,6,8\}B=\{2,4,6,8\}.

Choose a set that is equal to the following set:

A \cap BA \cap B

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Choose the main technique to prove the following statement:

If nnn is an integer and 2n42n42 \leq n \leq 4, then n22nn22nn^2 \geq 2^n.

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Choose the main technique to prove the following statement:

For every integer mmm, m(m+1)(m+2)m(m+1)(m+2)m(m+1)(m+2) is an integer multiple of 3.

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Let set S=\{1, 2, 3\}S=\{1, 2, 3\}, and let set T=\{a, b\}T=\{a, b\}.

Find the cardinality of the following set:

T \times TT \times T

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Let set S=\{1, 2, 3\}S=\{1, 2, 3\}, and let set T=\{a, b\}T=\{a, b\}.

Find the cardinality of the following set:

S \times TS \times T

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Use set-builder notation to define a set of integers according to the following description:

Integers that are no less than 20 and that are less than 50.

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Use set-builder notation to define a set of integers according to the following description:

Integers that are greater than 20 but no more than 50.

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