HSC Arts 11thMaharashtra State Board
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Solution for 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. - HSC Arts 11th - Mathematics and Statistics

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Question

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. 

 

Solution

(a) Some hardworking students are obedient.

Let H: set of hardworking students

     O: Set of obedient students

     U: Set of all students

from Venn diagram the truth value is H ∩ O

 

(b) No circles are polygons.

Let C: Set of all circles

     P: Set of all polygons

     U:set of all closed figures

From Venn diagram the truth value is 

C ∩ P= Φ

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

Let T: Set of all teachers

     S: Set of all scholars

     U: Set of all human beings

From Venn diagram the truth value is T=S

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Solution for question: 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. concept: Venn Diagrams. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General) , HSC Commerce (Marketing and Salesmanship), HSC Commerce
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