Question

If A={1,2} B={1,2,3,4} and C={5,6} verify that A×(B intersection C)=A×B intersection A×C

Answer 1

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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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