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Question

If A = {x:x25x+6=0}, B = {2,4} , C = {4,5}, then A×(BC) is ___


A

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

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B

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

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C

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

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D

{(2,2), (3,3), (4,4), (5,5)}

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Solution

The correct option is A

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


Given, A = {x:x25x+6=0}
The elements of A are the roots of x25x+6=0
x25x+6=0(x3)(x2)=0x=3 and 2
A = {2,3} , B = {2,4}, C = {4,5}

BC = {4}

A×(BC) = {2, 3} × {4}
= {(2,4), (3,4)}


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