Advertisements
Advertisements
प्रश्न
Verify A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) using Venn diagrams
Advertisements
उत्तर
(i)
(ii)
(iii)
(iv)
(v)
From (ii) and (v) we get A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).
APPEARS IN
संबंधित प्रश्न
Using the adjacent Venn diagram, find the following set:
A’ ∪ B’
Using the adjacent Venn diagram, find the following set:
A’ ∩ B’
Using the adjacent Venn diagram, find the following set:
(B ∪ C)’
Using the adjacent Venn diagram, find the following set:
A – (B ∪ C)
Using the adjacent Venn diagram, find the following set:
A – (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 ∪ M)
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 = {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 = `{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)
