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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Represent the union of two sets by Venn diagram for the following. X = {x | x is a prime number between 80 and 100} Y = {y | y is an odd number between 90 and 100}

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प्रश्न

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

X = {x | x is a prime number between 80 and 100}

Y = {y | y is an odd number between 90 and 100}

आकृती
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उत्तर

X = {x | x is a prime number between 80 and 100} = {83, 89, 97};

Y = {y | y is an odd number between 90 and 100} = {91, 93, 95, 97, 99} 

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पाठ 1: Sets - Problem Set 1 [पृष्ठ १८]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 1 Sets
Problem Set 1 | Q (7) (iii) | पृष्ठ १८

संबंधित प्रश्‍न

Draw appropriate Venn diagram for the following:

(A ∪ B)'


Draw appropriate Venn diagram for the following:

(A ∩ B)'


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

All rational number are real numbers. 


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: 

\[A \cup B \cup C\]

 


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\]and D = {x : x is a prime natural number}. Find: \[A \cap B\]

 


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[A \cap D\]

 


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[B \cap C\]


Express the truth of each of the following statements using Venn diagrams: 

(a) No circles are polygons

(b) Some quadratic equations have equal roots 


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 : 
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)'


Two sets A and B are such that A ∩ B = Φ. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :
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) 


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

All teachers are scholars and scholars are teachers.


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

No wicket keeper is bowler, in a cricket team.


Represent the following statement by the Venn diagram.

No circle is rectangle.


Draw Venn diagram for the following:

Some doctors are rich


Draw Venn diagram for the following:

Some students are not scholars


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