Example:- If E1 and E2 are measurable set then it's difference is also measurable

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It is very Simple example based on one theorem i.e. E is measurable iff E complement is also measurable.

Measurable set

Outer measure is countably subaddtive

Outer measure

Example of Outermeasure

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Difference of two measurable set is measurable
subtraction of two measurable set is measurable
even minus 2 is measurable set
If E1 is measurable and the symmetric difference m(E1∆E2)=0, then E2 is measurable and
difference of measurable set is measurable
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Sir please solve more questions from Royden book's excercises

joyasmitaghosh