Question

if A ={1,2,3,4,5,6} B={2,4,6} and C={1,3,5}
then find (A-C) ∩ (A-B)
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Answer 1

$\huge\mathcal{\fcolorbox{cyan}{black}{\pink{ANSWER}}}$

Given,

A ={1,2,3,4,5,6} B={2,4,6} and C={1,3,5}

Now,

(A-C) = {1,2,3,4,5,6} - {1,3,5} = {2,4,6}

(A - B) = {1,2,3,4,5,6} - {2,4,6} = {1,3,5}

So,

(A-C) ∩ (A-B) = {2,4,6} ∩ {1,3,5} = { }

or

$(A-C) ∩ (A-B) = \{ \: 2,4,6 \} ∩ \{1,3,5 \} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \emptyset$