 #1
laurabon
 6
 0
 Homework Statement:

let f : [a, b] → R ,
α ≥ 0 and Eα = {x ∈ [a, b] : exists f'(x) e f'(x)≤ α}
show that m (f(Eα)) ≤ α m(Eα)
 Relevant Equations:
 .
my question is how can I approch the problem ? And what is explicitly the set f(Eα)? {f(x) ∈ [a, b] such that what ??}