1. The problem statement, all variables and given/known data My question is would I be allowed to say, if lf+-[itex]\phi[/itex]l<ε/(2[itex]\mu[/itex](E) then ∫E lf+-[itex]\phi[/itex]l<ε/2 2. Relevant equations E is the set in which we are integrating over. [itex]\mu[/itex] is the measure [itex]\varphi[/itex] is a simple function f+ is the non-negative part of the function f. 3. The attempt at a solution I can't think of any reason that this wouldn't be true but my text is very vague in this chapter and so I am really not sure if this is an ok statement. Thank you for your time.