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EV33
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Homework Statement
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
Homework 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.
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.