Mathematics
If universal set = {all digits in our number system} and set A = {2, 3, 7, 9}. Write the complement of set A.
Related Questions
Assertion (A) : Let A = {1, 2, 3, 4, 5, 6} and B = {1, 3, 5, 7, 9} then A ∩ B ⊆ A and A ∩ B ⊆ B, always true for every pair of two sets.
Reason (R) : For any sets A and B, we have A ∩ B ⊆ A and A ∩ B ⊆ B.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : Let A = {x | x + 3 = 0, x ∈ N}, B = {x | x ≤ 3, x ∈ W} then A ∩ B = B.
Reason (R) : For any set A, A ∩ Φ = Φ.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
If A = {factors of 36} and B = {factors of 48}, find :
(i) A ∪ B
(ii) A ∩ B
(iii) A - B
(iv) B - A
By taking the sets of your own, verify that :
(i) n(A - B) = n(A ∪ B) - n(B)
(ii) n(A ∩ B) + n(A ∪ B) = n(A) + n(B)