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

Take the set of natural numbers from 1 to 20 as universal set and show set X using Venn diagram. X = {x | x ∈ N, and 7 < x < 15}

Advertisements
Advertisements

प्रश्न

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

X = {x | x ∈ N, and 7 < x < 15}

बेरीज
Advertisements

उत्तर

We have,

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

X = {x | x ∈ N, and 7 < x < 15}

X = {8, 9, 10, 11, 12, 13, 14}

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Practice Set 1.3 [पृष्ठ ११]

APPEARS IN

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

संबंधित प्रश्‍न

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.


If A and B are two set such that \[A \subset B\]then 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: \[A \cap C\] 

 


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: \[C \cap D\]


U = {1, 2, 3, 7, 8, 9, 10, 11, 12}

P = {1, 3, 7, 10} then

  1. show the sets U, P and P' by the Venn diagram.
  2. Verify (P')' = P

Express the truth of each of the following statements using Venn diagram.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram..


From the given diagram find : 
A ∪ B


From the given diagram, find: 
(i) A’ 
(ii) B’ 
(iii) A' ∪ B' 
(iv) (A ∩ B)'

Is A' ∪ B' = (A ∩ B)' ?

Also, verify if A' ∪ B' = (A ∩ B)'.


Use the given diagram to find:

(i) A ∪ (B ∩ C)

(ii) B - (A - C)

(iii) A - B

(iv) A ∩ B'

Is A ∩ B' = A - B?


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


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 :
A ∪ B


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


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

Some hardworking students are obedient.


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

All teachers are scholars and scholars are teachers.


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

If a quadrilateral is a rhombus, then it is a parallelogram.


Represent the following statement by the Venn diagram.

Some non-resident Indians are not rich.


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

All men are mortal.


Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×