Let \(f\) and \(g\) be two complex measurable functions on a measurable space \(X\). Show that \[ \{x\in X:f(x)\ne g(x)\} \] is a measurable subset of \(X\).
Question
Math 6210 • Real Analysis
1998 • Question 1
Question
1998 • Question 1
Let \(f\) and \(g\) be two complex measurable functions on a measurable space \(X\). Show that \[ \{x\in X:f(x)\ne g(x)\} \] is a measurable subset of \(X\).