∴ (A ∩ B)’ = A’ ∪ B’
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प्रश्न
Verify (A ∩ B)’ = A’ ∪ B’ using Venn diagrams
आकृती
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उत्तर
(i)
(ii)
(iii)
(iv)
(v)
from (ii) and (v)
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De Morgan’s Laws
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संबंधित प्रश्न
Using the adjacent Venn diagram, find the following set:
B – C
Using the adjacent Venn diagram, find the following set:
A’ ∪ B’
Using the adjacent Venn diagram, find the following set:
(B ∪ C)’
If K = {a, b, d, e, f}, L = {b, c, d, g} and M = {a, b, c, d, h} then find the following:
K ∪ (L ∩ M)
If K = {a, b, d, e, f}, L = {b, c, d, g} and M = {a, b, c, d, h} then find the following:
(K ∪ L) ∩ (K ∪ M)
Verify A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) using Venn diagrams
If A = {x : x = 6n, n ∈ W and n < 6}, B = {x : x = 2n, n ∈ N and 2 < n ≤ 9} and C = {x : x = 3n, n ∈ N and 4 ≤ n < 10}, then show that A – (B ∩ C) = (A – B) ∪ (A – C)
If A = {– 2, 0, 1, 3, 5}, B = {–1, 0, 2, 5, 6} and C = {–1, 2, 5, 6, 7}, then show that A – (B ∪ C) = (A – B) ∩ (A – C)
If A = `{y : y = ("a"+1)/2, "a" ∈ "W" and "a" ≤ 5}`, B = `{y : y = (2"n" – 1)/2, "n" ∈ "W" and "n" < 5}` and C = `{-1, −1/2, 1, 3/2, 2}` then show that A – (B ∪ C) = (A – B) ∩ (A – C)
Verify A – (B ∩ C) = (A – B) ∪ (A – C) using Venn diagrams
