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Question

A={x:xR, x2=16 and 2x=6} can be represented in the roster form as _________ .



Correct Answer
A

A = {}

Your Answer
B

A = { 14, 3, 4 }

Your Answer
C

A = { 3 }

Your Answer
D

A = { 4 }


Solution

The correct option is D

A = {}


x2=16x=±4

2x=6x=3

There is no value of x which satisfies both the given equations. The set A is an empty set or a null set.

Thus, A = {}.

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