Question:৩. `A = {2, 3, 4}, B = {1, 2, a}` এবং `C = {2, a, b}` হলে, নিচের সেটগুলো নির্ণয় কর:(ক) B \\ C(খ) `A uu B`(গ) `A nn C`(ঘ) `A uu (B nn C)`(ঙ) `A nn (B uu C)`
Answer সমাধান:(ক) B \\ C দেওয়া আছে, `B = {1, 2, a}` এবং `C = {2, a, b}` `:. ` B \\ C` = (1, 2, a} - {2, a, b}` `= {1}` `:.` B \\ C` = {1}` (Ans.)(খ)`A uu B` দেওয়া আছে, `A = {2, 3, 4}`এবং`B = {1, 2, a}` `:.A uu B = {2, 3, 4} uu {1, 2, a}` `= {1, 2, 3, 4, a}` `:.A uu B = {1, 2, 3, 4, a}` (Ans.)(গ)`A nn C` দেওয়া আছে, `A = {2, 3, 4}`এবং`C = {2, a, b}` `:.A nn C = {2, 3, 4} nn {2, a, b}` `= {2}` `:.A nn C = {2}` (Ans.)(ঘ)`A uu (B nn C)` দেওয়া আছে, `A = {2, 3, 4}, B = {1, 2, a}` এবং `C = {2, a, b}` এখানে, `(B nn C) = {1, 2, a} nn {2, a, b}` `= {2, a}` `:.A uu (B nn C) = {2, 3, 4} uu {2, a}` `= {2, 3, 4, a}` `:.A uu (B nn C) = {2, 3, 4, a}` (Ans.)(ঙ)`A nn (B uu C)` দেওয়া আছে, `A = {2, 3, 4}, B = {1, 2, a}` এবং `C = {2, a, b}` এখানে, `(B uu C) = {1, 2, a} uu {2, a, b}` `= {1, 2, a, b}` `:.A nn (B uu C) = {2, 3, 4} nn {1, 2, a, b}` `= {2}` `:.A nn (B uu C) = {2}` (Ans.)
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৩. `A = {2, 3, 4}, B = {1, 2, a}` abong `C = {2, a, b}` hole, nicher shetgulo nirony karo:(k) B \\ C(kh) `A uu B`(g) `A nn C`(gh) `A uu (B nn C)`(ঙ) `A nn (B uu C)`