set notation confusion - object t is a member of closed interval set? I'm reading through an introduction to basic set theory and have encountered the following .. $t\in [a, b] \Leftrightarrow a \leq t \:\&\: t \leq b$ I've been trying to figure the above in combination with the Wikipedia list of mathematical symbols, but I'm still not clear how to read this. I understand the part to the right of the "if and only if ..." double headed arrow, but the bit to the left I'm not sure about. Simple explanations will be preferred over complex ones.

You read it as: "$t$ belongs to the closed interval $[a,b]$ if and only if $a$ is smaller than or equal to $t$ and $t$ is smaller than or equal to $b$".