हिंदी

Take the set of natural numbers from 1 to 20 as universal set and show set Y using Venn diagram. Y = {y | y ∈ N, y is prime number from 1 to 20}

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प्रश्न

Take the set of natural numbers from 1 to 20 as universal set and show set Y using Venn diagram.

Y = {y | y ∈ N, y is prime number from 1 to 20}

योग
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उत्तर

We have,

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

Y = {y | y ∈ N, y is prime number from 1 to 20}

Y = {2, 3, 5, 7, 11, 13, 17, 19} 

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अध्याय 1: Sets - Practice Set 1.3 [पृष्ठ ११]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 1 Sets
Practice Set 1.3 | Q (2) (ii) | पृष्ठ ११

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'


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: 

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


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: 

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


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: 

\[B - A\] 


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: \[D - A\]


Represent the union of two sets by Venn diagram for the following.

A = {3, 4, 5, 7}  B = {1, 4, 8}


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 : 
B - A


From the given diagram find : 
(A ∪ B)'


Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
A ∪ B


Draw a Venn-diagram to show the relationship between two sets A and B; such that A ⊆ B, Now shade the region representing :
A ∩ B


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


From the given diagram, find :
(i) (A ∪ B) - C

(ii) B - (A ∩ C)

(iii) (B ∩ C) ∪ A

Verify :
A - (B ∩ C) = (A - B) ∪ (A - C) 


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



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


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