Find set A ,B,C such that A intersection B ,B intersection C ,A intersection C are non empty sets and A intersection B intersection C = null set
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Find set A ,B,C such that A intersection B ,B intersection C ,A intersection C are non empty sets and A intersection B intersection C = null set
Answer plz ☝☝
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A intersection B should be non empty
=> i,e there should be common element between A and B
B intersection C should be non empty
=> i,e there should be common element between B and C
A intersection C should be non empty
=> i,e there should be common element between A and C.
Also given that A intersection B intersection C is a null set.
=> there should not be any element common between A, B & C.
Let A = {0,1}
B = {1,2}
C = {2,0}
Now A intersection B = {1}
B intersection C = {2}
A intersection C = {0}
=> A intersection B, B intersection C,
C intersection A are non empty.
However
A intersection B intersection C = null set.
Hopes it helps
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