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Express the truth of the following statement by the Venn diagram. All men are mortal. - Mathematics and Statistics

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प्रश्न

Express the truth of the following statement by the Venn diagram.

All men are mortal.

बेरीज
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उत्तर

U : The set of all human being
A : The set of all men
B : The set of all mortal

The above Venn diagram represents the truth of the given statement, i.e. A ⊂ B.

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पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.2 | पृष्ठ ३३

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संबंधित प्रश्‍न

Express the truth of each of the following statements by Venn diagram:

(a) Some hardworking students are obedient.

(b) No circles are polygons.

(c) All teachers are scholars and scholars are teachers. 


Draw appropriate Venn diagram for the following:

(A ∪ B)'


Draw appropriate Venn diagram for the following:

A' ∩ B'


Draw appropriate Venn diagram for the following:

A' ∪ B'


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If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find: 

\[A \cup B \cup C\]

 


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find: 

\[A \cup B \cup D\]


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find: 

\[A \cap \left( B \cup C \right)\]


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: \[C - A\]


Using the Venn diagram, examine the logical equivalence of the following statements: 

(a) Some politicians are actors.

(b) There are politicians who are actors.

(c) There are politicians who are not actors.


From the given diagram find : 
A' ∩ B


From the given diagram find : 
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From the given diagram find : 
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From the given diagram find : 
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Use the given Venn-diagram to find :
A


Use the given Venn-diagram to find :
B'


State the sets representing by the shaded portion of following venn-diagram :


In the given diagram, shade the region which represents the set given underneath the diagrams: (B - A)'


Using the given diagram, express the following sets in the terms of A and B. {a, d, g, h}


Using the given diagram, express the following sets in the terms of A and B. {g, h}


Represent the truth of the following statement by the Venn diagram.

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Draw a Venn diagram for the truth of the following statement.

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There is no student who studies both Mathematics and English.


Draw Venn diagram for the following:

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