Advertisements
Advertisements
प्रश्न
If A = {1, 2, 3, 4, 5}
B = {2, 4, 6, 8}
and C = {3, 4, 5, 6}
Verify : A - (B ∩ C) = (A - B) ∪ (A - C)
उत्तर
A = {1, 2, 3, 4, 5}
B = {2, 4, 6, 8}
C = {3, 4, 5, 6}
B ∩ C = {2, 4, 6, 8} ∩ {3, 4, 5, 6}
= {4,6}
A - (B ∩ C) = {1, 2, 3, 4, 5} - {4,6}
= {1, 2, 3, 5}
A - B = {1, 2, 3, 4, 5} - {2, 4, 6, 8}
= {1, 3, 5}
A -C = {1, 2, 3, 4, 5} - {3, 4, 5, 6}
= {1,2}
(A - B) ∪ (A - C) = {1, 3, 5} ∪ {1,2}
= {1, 2, 3, 5}
∴ A - (B ∩ C) = (A - B) ∪ (A - C)
APPEARS IN
संबंधित प्रश्न
Given A = {x : x ∈ N and 3 < x ~ 6} and 8 = {x : x ∈ W and x < 4}. Find: A - B.
If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7}; Find: A -B.
If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7}; Find: B - C.
If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7}; Find: A - (B ∪ C).
If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7}; Find: B - (A ∩ C).
If A = {1, 2, 3, 4, 5}
B = {2, 4, 6, 8}
and C = {3, 4, 5, 6}
Verify : A - (B ∪ C) = (A - B) ∩ (A - C)
