Question
Mathematics Question on Sets
If A and B are non-empty sets such that A⊃B, then
A
B′−A′=A−B
B
B′−A′=B−A
C
A′−B′=A−B
D
A′∩B′=B−A
Answer
B′−A′=A−B
Explanation
Solution
Given that, A⊃B
So, by Venn diagram, we conclude that
B′−A′=A−B
If A and B are non-empty sets such that A⊃B, then
B′−A′=A−B
B′−A′=B−A
A′−B′=A−B
A′∩B′=B−A
B′−A′=A−B
Given that, A⊃B
So, by Venn diagram, we conclude that
B′−A′=A−B