or
or
U = {7, 8, 9, 10, 11, 12, 13} A = {9, 10, 12, 13} B = {7, 9, 11, 13} এবং C = {7, 8, 10, 11, 12}
দেখাও যে, A'U C' = (A∩C)'
দেওয়া আছে, U = {7, 8, 9, 10, 11, 12, 13}
A = {9, 10, 12, 13}
C = {7, 8, 10, 11, 12}
এখন, A' = U – A
= {7, 8, 9, 10, 11, 12, 13} – {9, 10, 12, 13}
= {7, 8, 11}
C' = U – C
= {7, 8, 9, 10, 11, 12, 13} – {7, 8, 10, 11, 12}
= {9, 13}
∴ A ∩ C = {9, 10, 12, 13} ∩ {7, 8, 10, 11, 12}
= {10, 12}
বামপক্ষ: A' ∪ C'
= {7, 8, 11} ∪ {9, 13}
= {7, 8, 9, 11, 13}
ডানপক্ষ: (A ∩ C)'
= U – (A ∩ C)
= {7, 8, 9, 10, 11, 12, 13} – {10, 12}
= {7, 8, 9, 11, 13}
∴ A' ∪ C' = (A ∩ C)' (প্রমাণিত)
আপনি আমাকে যেকোনো প্রশ্ন করতে পারেন, যেমনঃ
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