Let Z be the set of integers, if A = x ∈ Z : x - 3 x 2 - 5 x + 6 = 1 and B = x ∈ Z : 10 3 x + 1 22 , then the number of subsets of the set A × B is

Question

Let Z be the set of integers, if A = x ∈ Z : x - 3 x 2 - 5 x + 6 = 1 and B = x ∈ Z : 10 3 x + 1 22 , then the number of subsets of the set A × B is, 2 6, 2 8, 2 15, 2 9

MARKS App · Accepted Answer

For A , x - 3 = 1 ⇒ x = 2,4 or x 2 - 5 x + 6 = 0 ⇒ x = 2,3 but x ≠ 3 ∴ A = 2,4 For B , B = 4 ,5 , 6 n A × B = 6 ∴ number of subsets = 2 6

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