find symmetric difference between p=(2,3,5,7,11)and Q (1,3,5,7)
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Answer:
Find the symmetric difference between the following sets. (i) P = {2, 3, 5, 7, 11} and Q = {1, 3, 5, 11} (ii) R = {l, m, n, o, p} and S = {j, l, n, q} ..
Answer:
(i) P = {2, 3, 5, 7, 11} Q = {1, 3, 5, 11} P – Q = {2, 3, 5, 7, 11} – {1, 3, 5, 11} = {2, 7} Q – P = {1, 3, 5, 11} – {2, 3, 5, 7, 11} = {1} P Δ Q = (P – Q) ∪ (Q – P) = {2, 7} ∪ {1} = {1, 2, 7} (ii) R = {l, m, n, o, p} S = {j, l, n, q} R – S = {l, m, n, o, p} – {j, l, n, q} = {m, o, p} S – R = {j, l, n, q)} – {l, m, n, o, p}= {j, q} R Δ S = (R – S) ∪ (S – R) = {m, o, p} ∪ {j, q} = {j, m, o, p, q} (iii) X = {5, 6, 7} Y = {5, 7, 9, 10} X – Y = {5, 6, 7} – {5, 7, 9, 10} – {6} Y – X = {5, 6, 9, 10} – {5, 6, 7} = {9, 10} X Δ Y = (X – Y) ∪ (Y – X) = {6} ∪ {9, 10} = {6, 9, 10}.Read more on Sarthaks.com - https://www.sarthaks.com/959804/find-the-symmetric-difference-between-the-following-sets-i-p-2-3-5-7-11-and-q-1-3-5-11?show=959813#a959813