Write the specified set using the roster method givenU={1,2,3,…,20},E={2,4,6,…,20},F={5,10,15,20},G={1,2,3,4,5}U=\left\lbrace1,2,3,\ldots,20\right\rbrace,E=\left\lbrace2,4,6,\ldots,20\right\rbrace,F=\left\lbrace5,10,15,20\right\rbrace,G=\left\lbrace1,2,3,4,5\right\rbrace.(E∪F∪G)′\left(E\cup F\cup G\$$right)^{\prime}$$

(E∪F∪G)′={7,9,11,13,17,19}\left(E\cup F\cup G\$$right)^{\prime}$$=\left\lbrace7,9,11,13,17,19\right\rbrace

(E∪F∪G)′=(1,3,5,7,9,11,13,15,17,19)\left(E\cup F\cup G\$$right)^{\prime}$$=\left(1,3,5,7,9,11,13,15,17,19\right)

(E∪F∪G)′={1,3,7,9,11,13,17,19}\left(E\cup F\cup G\$$right)^{\prime}$$=\left\lbrace1,3,7,9,11,13,17,19\right\rbrace

(E∪F∪G)′={7,9,11,13,15,17,19}\left(E\cup F\cup G\$$right)^{\prime}$$=\left\lbrace7,9,11,13,15,17,19\right\rbrace

Write the specified set using the roster method givenU={1,2,3,…,20},E={2,4,6,…,20},F={5,10,15,20},G={1,2,3,4,5}U=\left\lbrace1,2,3,\ldots,20\right\rbrace,E=\left\lbrace2,4,6,\ldots,20\right\rbrace,F=\left\lbrace5,10,15,20\right\rbrace,G=\left\lbrace1,2,3,4,5\right\rbrace.(E∪F)∩(F∪G)\left(E\cup F\right)\cap\left(F\cup G\right)

(E∪F)∩(F∪G)={2,4,5,10,15,20}\left(E\cup F\right)\cap\left(F\cup G\right)=\left\lbrace2,4,5,10,15,20\right\rbrace

(E∪F)∩(F∪G)={1,2,3,4,5,10,15,20}\left(E\cup F\right)\cap\left(F\cup G\right)=\left\lbrace1,2,3,4,5,10,15,20\right\rbrace

(E∪F)∩(F∪G)={5,10,15,20}\left(E\cup F\right)\cap\left(F\cup G\right)=\left\lbrace5,10,15,20\right\rbrace

(E∪F)∩(F∪G)={1,2,3,4,5,6,8,10,15,20}\left(E\cup F\right)\cap\left(F\cup G\right)=\left\lbrace1,2,3,4,5,6,8,10,15,20\right\rbrace

Write the specified set using the roster method givenU={1,2,3,…,20},E={2,4,6,…,20},F={5,10,15,20},G={1,2,3,4,5}U=\left\lbrace1,2,3,\ldots,20\right\rbrace,E=\left\lbrace2,4,6,\ldots,20\right\rbrace,F=\left\lbrace5,10,15,20\right\rbrace,G=\left\lbrace1,2,3,4,5\right\rbrace.F′∩(E∪G′$$)F^{\prime}$$\cap\left(E\cup $$G^{\prime}$$\right)

F′∩(E∪G′)={2,4,6,7,8,9,11,12,13,14,16,17,18,19}$$F^{\prime}$$\cap\left(E\cup $$G^{\prime}$$\right)=\left\lbrace2,4,6,7,8,9,11,12,13,14,16,17,18,19\right\rbrace

F′∩(E∪G′)={5,10,15,20}$$F^{\prime}$$\cap\left(E\cup $$G^{\prime}$$\right)=\left\lbrace5,10,15,20\right\rbrace

F′∩(E∪G′)={2,4,6,7,8,9,11,12,13,14,15,16,17,18,19}$$F^{\prime}$$\cap\left(E\cup $$G^{\prime}$$\right)=\left\lbrace2,4,6,7,8,9,11,12,13,14,15,16,17,18,19\right\rbrace

F′∩(E∪G′)={15,20}$$F^{\prime}$$\cap\left(E\cup $$G^{\prime}$$\right)=\left\lbrace15,20\right\rbrace

Write the specified set using the roster method givenU={1,2,3,…,20},E={2,4,6,…,20},F={5,10,15,20},G={1,2,3,4,5}U=\left\lbrace1,2,3,\ldots,20\right\rbrace,E=\left\lbrace2,4,6,\ldots,20\right\rbrace,F=\left\lbrace5,10,15,20\right\rbrace,G=\left\lbrace1,2,3,4,5\right\rbrace.(E∩F′)∪(G′∩F′)\left(E\cap $$F^{\prime}$$\right)\cup\$$left(G^{\prime}$$\cap $$F^{\prime}$$\right).

(E∩F′)∪(G′∩F′)={2,4,6,7,8,9,11,12,13,14,16,17,18,19}\left(E\cap $$F^{\prime}$$\right)\cup\$$left(G^{\prime}$$\cap $$F^{\prime}$$\right)=\left\lbrace2,4,6,7,8,9,11,12,13,14,16,17,18,19\right\rbrace

(E∩F′)∪(G′∩F′)={5,10,15,20}\left(E\cap $$F^{\prime}$$\right)\cup\$$left(G^{\prime}$$\cap $$F^{\prime}$$\right)=\left\lbrace5,10,15,20\right\rbrace

(E∩F′)∪(G′∩F′)={2,4,6,7,8,9,11,12,13,14,15,16,17,18,19}\left(E\cap $$F^{\prime}$$\right)\cup\$$left(G^{\prime}$$\cap $$F^{\prime}$$\right)=\left\lbrace2,4,6,7,8,9,11,12,13,14,15,16,17,18,19\right\rbrace

(E∩F′)∪(G′∩F′)={15,20}\left(E\cap $$F^{\prime}$$\right)\cup\$$left(G^{\prime}$$\cap $$F^{\prime}$$\right)=\left\lbrace15,20\right\rbrace

Use the Venn diagram to find each of the following.(A∪B∪C)′\left(A\cup B\cup C\$$right)^{\prime}$$

(A∪B∪C)′={9}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace9\right\rbrace

(A∪B∪C)′={2,3,4,5,8}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace2,3,4,5,8\right\rbrace

(A∪B∪C)′={0,1,6,7}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace0,1,6,7\right\rbrace

(A∪B∪C)′={0,1,6,7,9}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace0,1,6,7,9\right\rbrace

Use the Venn diagram to find each of the following.A′∩B′∩C′$$A^{\prime}$$\cap $$B^{\prime}$$\cap $$C^{\prime}$$

(A∪B∪C)′={9}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace9\right\rbrace

(A∪B∪C)′={0,1,6,7,9}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace0,1,6,7,9\right\rbrace

(A∪B∪C)′={2,3,4,5,8}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace2,3,4,5,8\right\rbrace

(A∪B∪C)′={0,1,6,7}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace0,1,6,7\right\rbrace

Use the Venn diagram to find each of the following.(A∩B)∪(B∩C)∪(C∩A)\left(A\cap B\right)\cup\left(B\cap C\right)\cup\left(C\cap A\right)

(A∪B∪C)′={2,3,4,5,8}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace2,3,4,5,8\right\rbrace

(A∪B∪C)′={0,1,6,7,9}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace0,1,6,7,9\right\rbrace

(A∪B∪C)′={9}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace9\right\rbrace

(A∪B∪C)′={0,1,6,7}\left(A\cup B\cup C\$$right)^{\prime}$$=\left\lbrace0,1,6,7\right\rbrace

2. Sets

Venn Diagrams and Operations with Three Sets

2. Sets

Venn Diagrams and Operations with Three Sets: Video e Problemi di Pratica

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Venn Diagrams and Operations with Three Sets

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Venn Diagrams and Operations with Three Sets Example 1

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Problema

Write the specified set using the roster method given
$U = {1, 2, 3, \dots, 20}, E = {2, 4, 6, \dots, 20}, F = {5, 10, 15, 20}, G = {1, 2, 3, 4, 5}$ .
${(E \cup F \cup G)}^{'}$

$open paren E union F union G close paren prime equals open paren 1 comma 3 comma 5 comma 7 comma 9 comma 11 comma 13 comma 15 comma 17 comma 19 close paren$

${(E \cup F \cup G)}^{'} = {7, 9, 11, 13, 17, 19}$

${(E \cup F \cup G)}^{'} = {1, 3, 7, 9, 11, 13, 17, 19}$

${(E \cup F \cup G)}^{'} = {7, 9, 11, 13, 15, 17, 19}$

Problema

Write the specified set using the roster method given
$U = {1, 2, 3, \dots, 20}, E = {2, 4, 6, \dots, 20}, F = {5, 10, 15, 20}, G = {1, 2, 3, 4, 5}$ .
$(E \cup F) \cap (F \cup G)$

$(E \cup F) \cap (F \cup G) = {2, 4, 5, 10, 15, 20}$

$(E \cup F) \cap (F \cup G) = {1, 2, 3, 4, 5, 10, 15, 20}$

$(E \cup F) \cap (F \cup G) = {5, 10, 15, 20}$

$(E \cup F) \cap (F \cup G) = {1, 2, 3, 4, 5, 6, 8, 10, 15, 20}$

Problema

Write the specified set using the roster method given
$U = {1, 2, 3, \dots, 20}, E = {2, 4, 6, \dots, 20}, F = {5, 10, 15, 20}, G = {1, 2, 3, 4, 5}$ .
$F^{'} \cap (E \cup G^{'})$

$F^{'} \cap (E \cup G^{'}) = {5, 10, 15, 20}$

$F^{'} \cap (E \cup G^{'}) = {2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}$

$F^{'} \cap (E \cup G^{'}) = {15, 20}$

$F^{'} \cap (E \cup G^{'}) = {2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19}$

Problema

Write the specified set using the roster method given
$U = {1, 2, 3, \dots, 20}, E = {2, 4, 6, \dots, 20}, F = {5, 10, 15, 20}, G = {1, 2, 3, 4, 5}$ .
$(E \cap F^{'}) \cup (G^{'} \cap F^{'})$ .

$(E \cap F^{'}) \cup (G^{'} \cap F^{'}) = {5, 10, 15, 20}$

$(E \cap F^{'}) \cup (G^{'} \cap F^{'}) = {2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}$

$(E \cap F^{'}) \cup (G^{'} \cap F^{'}) = {2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19}$

$(E \cap F^{'}) \cup (G^{'} \cap F^{'}) = {15, 20}$

Problema

Use the Venn diagram to find each of the following.

${(A \cup B \cup C)}^{'}$

${(A \cup B \cup C)}^{'} = {9}$

${(A \cup B \cup C)}^{'} = {2, 3, 4, 5, 8}$

${(A \cup B \cup C)}^{'} = {0, 1, 6, 7}$

${(A \cup B \cup C)}^{'} = {0, 1, 6, 7, 9}$

Problema

Use the Venn diagram to find each of the following.

$A^{'} \cap B^{'} \cap C^{'}$

${(A \cup B \cup C)}^{'} = {0, 1, 6, 7, 9}$

${(A \cup B \cup C)}^{'} = {2, 3, 4, 5, 8}$

${(A \cup B \cup C)}^{'} = {0, 1, 6, 7}$

${(A \cup B \cup C)}^{'} = {9}$

Problema

Use the Venn diagram to find each of the following.

$(A \cap B) \cup (B \cap C) \cup (C \cap A)$

${(A \cup B \cup C)}^{'} = {0, 1, 6, 7, 9}$

${(A \cup B \cup C)}^{'} = {9}$

${(A \cup B \cup C)}^{'} = {0, 1, 6, 7}$

${(A \cup B \cup C)}^{'} = {2, 3, 4, 5, 8}$

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Venn Diagrams and Operations with Three Sets: Video e Problemi di Pratica

Venn Diagrams and Operations with Three Sets

Venn Diagrams and Operations with Three Sets Example 1

Use the Venn diagram to find each of the following.(A∪B∪C)′\(\left\)(A\(\cup\) B\(\cup\) C\(\right\))^{\(\prime\)}

Use the Venn diagram to find each of the following.A′∩B′∩C′A^{\(\prime\)}\(\cap\) B^{\(\prime\)}\(\cap\) C^{\(\prime\)}

Use the Venn diagram to find each of the following.(A∩B)∪(B∩C)∪(C∩A)\(\left\)(A\(\cap\) B\(\right\))\(\cup\[\left\)(B\(\cap\) C\(\right\))\(\cup\]\left\)(C\(\cap\) A\(\right\))

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Use the Venn diagram to find each of the following.

${(A \cup B \cup C)}^{'}$

Use the Venn diagram to find each of the following.

$A^{'} \cap B^{'} \cap C^{'}$

Use the Venn diagram to find each of the following.

$(A \cap B) \cup (B \cap C) \cup (C \cap A)$