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Using properties of sets, show that `A uu ( A nn B)=A`

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Using properties of sets, show that A nn (A uu B)=A

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Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A nn C . Show that B = C.

Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

If A and B are subsets of the universal set U, then show that : (A nn B) sub B .

If A and B are subsets of the universal set U, then show that : (A nn B) sub A .

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .