English

Find the intersection of pair of sets: X = {1, 3, 5}, Y = {1, 2, 3} - Mathematics

Advertisements
Advertisements

Question

Find the intersection of pair of sets:

X = {1, 3, 5}, Y = {1, 2, 3}

Sum

Solution

Here, X = {1, 3, 5} and Y = {1, 2, 3}

∴ X ∩ Y = {1, 3}

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise 1.4 [Page 18]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.4 | Q 5.1 | Page 18

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the intersection of pair of sets:

A = {x : x is a natural number and multiple of 3}

B = {x : x is a natural number less than 6}


Find the intersection of pair of sets:

A = {x : x is a natural number and 1 < x ≤ 6}

B = {x : x is a natural number and 6 < x < 10}


Find the intersection of pair of sets:

A = {1, 2, 3}, B = Φ


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

A ∩ B


Show that the following four conditions are equivalent:

  1. A ⊂ B
  2. A – B = Φ
  3. A ∪ B = B 
  4. A ∩ B = A

Show that A ∩ B = A ∩ C need not imply B = C.


Let A and B be sets. If A ∩ X = B ∩ X = Φ and A ∪ X = B ∪ X for some set X, show that A = B.

(Hints A = A ∩ (A ∪ X), B = B ∩ (B ∪ X) and use distributive law)


In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

B ∩ C


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

B ∩ D


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

A ∩ (B ∪ C)


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

A ∩ D


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

A ∩ (B ∪ D)


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

(A ∩ B) ∩ (B ∪ C)


If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find

(A ∪ D) ∩ (B ∪ C)


If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:

A ∩ C


If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:

A ∩ D


If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:

B ∩ C


If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:

B ∩ D


If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:

C ∩ D


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×