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Real Valued Functions

The number of...

Question

The number of real solution(s) of the equation $sgn (2 x - 4) = 2$ is
(Here, sgn denotes the signum function)

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Solution

Here, $sgn (2 x - 4) = 2$
We know that, in signum function
For domain $x \in R$ , the range is ${- 1, 0, 1}$
So, $sgn (2 x - 4) = 2$ is not possible for any real values of $x .$

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