Question

prove that....A- (BU C) = (A= B) (A-B)
class 11 sets​

Answer 1

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Let A={0,1},B={1,2}, and C={2,0}

Accordingly,

• A∩B={1}
• B∩C={2}
• A∩C={0}.

∴A∩B,B∩C, and A∩C are non-empty.

However, A∩B∩C=ϕ

Answer 2

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L.H.S = A - (BUC)

An (BUC)C

An (Bcn Cc)

(An Bc) n (An Cc)

(AUB) n (AUC)

R.H.S = (A-B) n (A-C)

(ANBc) n (ANCc)

(AUB) n (AUC)

L.H.S R.H.S

$\sf {\green {\underline {\red{\underline {♛Nekki♛࿐ }}}}}$