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Question

A={x:xR, x2=16 and 2x=6}. Represent the set in roster form.

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Solution

Given A={x:xR, x2=16 and 2x=6}

A is the set of common solutions of equations x2=16 and 2x=6.
Solution of x2=16x=±4
Solution of 2x=6x=3

There is no value of x which satisfies both the given equations.

Therefore the set A is an empty set or a null set.

Thus, A={}.


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