Question

if A= (-3,-2,-1,-4) B= (0,1,2,4) C= (-3,0,2) find A-(BUC) please answer this​

Answer 1

A = {0, 1, 2, 4, 5}

B = {0, 2, 4, 6, 8}

C = {0, 3, 6, 9}

B U C = {0, 2, 4, 6, 8} U {0, 3, 6, 9}

= {0, 2, 3, 4, 6, 8, 9}

∴ A U (B U C)

= {0, 1, 2, 4, 5} U {0, 2, 3, 4, 6, 8, 9}

= A U (B U C)

= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}    ____(i)

A I B = {0, 1, 2, 4, 5} U {0, 2, 4, 6, 8}

= {0, 1, 2, 4, 5, 6, 8}

∴ (A U B) U C

= {0, 1, 2, 4, 5, 6, 7, 8} U {0, 3, 6, 9}

= (A U B) U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} ___(II)

From I and lI, we get

A U (B U C) = (A U B) U C