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A day full of math games & activities. Find one near you.
Using properties of sets, show that
(i) A ∪ ( A ∩ B ) = A
(ii) A ∩ ( A ∪ B ) = A
Solution:
(i) A υ (A ∩ B) = A
We know that
A ⊂ A
A ∩ B ⊂ A
A υ (A ∩ B) ⊂ A ....(1)
Also,
A ⊂ A υ (A ∩ B) ....(2)
From (1) and (2),
A υ (A ∩ B) = A
(ii) A ∩ (A υ B) = A
A ∩ (A υ B) = (A ∩ A) υ (A ∩ B)
= A υ (A ∩ B)
A ∩ (A υ B) = A [from (1)]
NCERT Solutions Class 11 Maths Chapter 1 Exercise ME Question 9
Using properties of sets show that (i) A υ (A ∩ B) = A (ii) A ∩ (A υ B) = A
Two sets are given. We have proved that A ∩ (A υ B) = (A ∩ A) υ (A ∩ B)
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