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For all sets A and B, (A - B) uu (A n...

For all sets A and B, `(A - B) uu (A nn B) = A`.

Text Solution

Verified by Experts

`LHS = (A-B) uu (A nn B)`
`= [ (A - B) uu A] nn [(A-B)uuB]`
`= A nn (A uu B)n = A = RHS`
Hence, given statement is true.
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