Let $M = (\mathbb{R}, \mathcal{L}, \mu)$ be a D5268: Real lebesgue measure space such that
(i) | \begin{equation} E : = (- \infty, 1] \end{equation} |
(ii) | \begin{equation} F : = [-1, \infty) \end{equation} |
Then
(1) | \begin{equation} E, F \in \mathcal{L} \end{equation} |
(2) | \begin{equation} \mu(E) = \infty = \mu(F) \end{equation} |
(3) | \begin{equation} \mu(E \cap F) = 2 \end{equation} |