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Let $(\Bbb R, \mathcal B, m)$ be the measure space $\Bbb R$, with $\mathcal B$ the Borel $\sigma$-algebra and $m$ the Lebesgue measure. Evaluate:

$m([−3,5]) =\boxed ?$

$m(\{0,1,2,3\}) =\boxed ?$

$m([0,2] \cup [4,8]) =\boxed ?$

Sassatelli Giulio
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sam
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    Took me some time to realize that $\mathrm{IR}$ is meant to represent $\Bbb R$ – SBF Mar 16 '22 at 22:04
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    Welcome Sam. You were taught this, and introduced to Lebesgue’s measure how, exactly? It is important to provide context,thoughts and workings so that people here can help you constructively. From my perspective right now it is impossible to understand what you’re struggling with – FShrike Mar 16 '22 at 22:23

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