19.If A= {b,c,e,g,h}, B={a,c,d,g,j} and c={a,d,e,g,h}then show that A-(B ∩ C) = (A-B) U (A-C)
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Step-by-step explanation:
A= {b,c,e,g,h},
(B ∩ C) = { a, d,g}
LHS = A - (B ∩ C)
= {b,c,e,g,h} - { a, d,g}
= {b, c,e,,h}
(A-B) ={ b,e,,h}
(A-C) ={b,c}
RHS = (A-B) U (A-C)
={ b,e,h} U {b,c}
={ b,c,e,h}
A-(B ∩ C) = (A-B) U (A-C)
{ b,c,e,h} = { b,c,e,h}
LHS = RHS
Hence proved
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