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For all sets A and B, A and B, A uu (B...

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

Text Solution

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`LHS = A uu (B-A) = A uu (Bnn A') , [:' A - B = A nn B']`
`= (A uu B) nn (A uu A') = (A uu B) nn U , [:' A uu A' = U]`
`= A uu B = RHS , [:' A nn U = A]`
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