Statement 1 : The equation $x \log x=2–x$ is satisfied by at least one value of x lying between 1 and 2.
Statement 2 : The function $f\left(x\right)=x \log x$ is an increasing function in [1, 2] and $g\left(x\right) =2–x$ is a
decreasing function in [1, 2] and the graphs represented by these functions intersect at a point in [1, 2]