Question

Prove that A-(B-C) = (A-B) ⋃ (A ⋂B ⋂ C)

Answer 1

Step-by-step explanation:

let A={1,2,3,}

B={2,3,4,5}

C={6,7,8}

B-C={2,3,4,5}

A-(B-C)={1}

A-B={1}

A INTERSECTION B INTERSECTION C={ }

(A-B)U(A INTERSECTION B INTERSECTION C)={1}

HENCE,

A-(B-C)=(A-B)U(A INTERSECTION INTERSECTION INTERSECTION C)

HENCE PROBED