Question

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

Answer 1

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