any idea how to solve it would be appreciated
Letf : X ->[- infinity, infinity] be an extended real-valued function defined on a
measure space ( X, F, m) . Prove that {x : f (x ) > -infinity}
is in segma-algebra F ,and {x: - infinity< f(x)< infinity}
is in segma-algebra F
how can I apply the definition of an extended real-valued function to prove this, any help would be appraciated.
Thanks,