Question

Let A{1,2,3,4},B={4,5,6},C={5,6}. find 1)A×(B intersection C} C}
2) (A×B) intersection (A×C)

Answer 1

Answer:

I hope it will help you.

Answer 2

Answer:

LHS = RHS

Step-by-step explanation:

A = {1,2}

B = {1,2,3,4}

C = {5,6}

B ∩ C = ∮

A × ∮ = ∮

(A × B) = {(1,1) ,(1,2) ,(1,3),(1,4) ,(2,1) ,(2,2) ,(2,3) ,(2,4)}

(A × C) = { (1,5) ,(1 ,6) ,(2, 5) ,(2 ,6) }

(A × B) ∩ (A × C) = ∮

A × (B ∩ C) = (A × B) ∩ (A × C)

∮ = ∮

LHS = RHS

Hence Verified

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