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Q5). If A={3,4} B= {2,3,4} C={3,4,5} then find (BxB) ∩ (CxC)​

Sagot :

SalmonWorldTopper

Step-by-step explanation:

Given that

A = {3,4}

B = { 2,3,4}

C ={3,4,5}

BXB = {2,3,4}×{2,3,4}

⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}

and

CXC = {3,4,5}X{3,4,5}

⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

Now

(BxB) n(CxC)

⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n

{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

⇛ {(3,3),(3,4),(4,3),(4,4,)}

Additional comment:

  • AxB is the Cartesian product of the two sets A and B on which (a,b) form a belongs to A and b belongs to B

  • AnB is the set of Common elements in both A and B
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