CBSE Class 11-science Answered
Hello Sir,
Please explain the below formulae with their venn diagrams.
1) A-B=A⇔A
B=Ø
2) A
B⇔B'
A'
3) A
(B
C)=(A
B)
(A
C)
Asked by seeni2005 | 19 Aug, 2020, 21:19: PM
1) A-B=A⇔A
B=Ø
![Suppose space straight A minus straight B equals straight A rightwards double arrow No space elements space from space straight A space has space been space removed space when space we space remove space the space elements space of space straight B space from space straight A
This space means space that space there space is space no space element space in space straight B space which space is space common space to space straight A
rightwards double arrow There space is space no space element space common space in space straight A space and space straight B
rightwards double arrow straight A intersection straight B equals empty set
Let apostrophe straight s space assume space straight A intersection straight B equals empty set
rightwards double arrow space There space is space no space element space common space in space straight A space and space straight B comma space which space means space straight A space and space straight B space does space not space have space any space common space element
So comma space if space we space take space straight A minus straight B comma space this space means space we space are space deleting space the space elements space of space straight A space which space are space in space straight B space also.
But space as space there space is space no space element space of space straight A space which space is space in space straight B space rightwards double arrow space straight A minus straight B equals straight A space as space none space of space the space elements space of space straight A space has space been space deleted.
Hence comma space straight A minus straight B equals straight A left right double arrow straight A intersection straight B equals empty set](https://images.topperlearning.com/topper/tinymce/cache/92780371f45c4cf32a7c13959f3c6b17.png)
2) AB⇔B'
A'
3) A(B
C)=(A
B)
(A
C)
Answered by Renu Varma | 20 Aug, 2020, 11:38: AM
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