Home
Class 12
MATHS
If A - B =phi phi and B-A = phi then wh...

If `A - B =phi phi and B-A = phi ` then what can we conclude ?

Text Solution

Verified by Experts

The correct Answer is:
A=B
We have A B = `phi`, which means that all the elements of set A are 10.common with elements of set B.
Also, B - A =`phi`, which means that all the elements of set B are common with elements of set A.
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.2|8 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.3|13 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Archieves|1 Videos

  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos

  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|3 Videos

Similar Questions

Explore conceptually related problems

If A cap B = A cup B then what can we conclude ?

If vec a. vec a = 0 and vec a. vec b = 0 the what can be concluded about the vector vec b ?

Given that vec a. vec b = 0 and vec a xx vec b = vec 0 . What can you conclude about the vectors veca and vec b ?

If A={6,9,11}, B={}. Find A cup phi .

If A={2,3,5}. Find A cup phi and phi cup A and compare.

If A={ phi ,{ phi }}, then the power set of A is

If theta + phi = alpha and tan theta = k tan phi , then prove that sin (theta - phi) = (k - 1)/(k + 1) sin alpha .

If theta + phi =alpha and tan theta = k tan phi , then prove that sin(theta - phi) =(k-1)/(k+1) sin alpha .

If A={0,2,4}, find A cap phi and A cap A . Comment.