Question

If A={1,3,5,7,9},B={1,2,3},C={2,3,4} then verify A-(B U C)=(A-B)n(A-C)

Answer 1

Answer:

A-(B UC) = (A - B)n(A - C)

Step-by-step explanation:

A={1,3,5,7,9},B ={1,2,3},C ={2,3,4}

B U C = {1,2,3} U {2,3,4}

= {1,2,3,4}

A-(B U C) = {1,3,5,7,9} - {1,2,3,4}

= {5,7,9}

A-B ={1,3,5,7,9} - {1,2,3}

={5,7,9}

A-C ={1,3,5,7,9} -{2,3,4}

={1,5,7,9}

(A-B) n (A-C) = {5,7,9} n {1,5,7,9}

={5,7,9}

therefore A-(B U C)=(A-B)n(A-C) ={5,7,9}

Answer 2

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