- #1

sbashrawi

- 55

- 0

## Homework Statement

If E is a measurable set of measure zero, and f is bounded function on E. Is f measurable?

I tried to prove this by saying that E = { x in E | m< f(x) <M}

= {x in E | f(x) > m }intersecting { x in E | f(x) < M } and these are measurable

so f is measurable. Am I right ?