मराठी

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 ∩ ( B ∪ C ) - Mathematics

Advertisements
Advertisements

प्रश्न

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: 

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

Advertisements

उत्तर

Given:
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} 

\[A \cap \left( B \cup C \right)\] = {4, 5}

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.05 [पृष्ठ २१]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.05 | Q 2.08 | पृष्ठ २१

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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

All rational number are real numbers. 


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

\[A \cap B\]

 


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:

\[A \cup B\]

 


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: 

\[A \cup C\]


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\[B \cup D\]

 


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:

\[B \cup C \cup D\]

 


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: 

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


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: \[A \cap D\]

 


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: \[B - C\]


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]


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}


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

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

P = {a, b, c, e, f} Q = {l, m, n, e, b}


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.


From the given diagram find : 
A' ∩ B


From the given diagram find : 
B - A


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 Venn-diagram to find :
A


Use the given Venn-diagram to 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 :
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


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


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


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, c, f, g, h}


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


Represent the following statement by the Venn diagram.

Some non-resident Indians are not rich.


Represent the following statement by the Venn diagram.

If n is a prime number and n ≠ 2, then it is odd.


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.

There is no student who studies both Mathematics and English.


Draw Venn diagram for the following:

Some students are not scholars


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×