∴ (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
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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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)
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) and verify distributive laws
Verify A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) using Venn diagrams
If A = {b, c, e, g, h}, B = {a, c, d, g, i}, and C = {a, d, e, g, h}, 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)
If U = {4, 7, 8, 10, 11, 12, 15, 16}, A = {7, 8, 11, 12} and B = {4, 8, 12, 15}, then verify De Morgan’s Laws for complementation
