Text Embedded in Displayed Equations

Text can be embedded in displayed equations (in LaTeX) by using \mbox{embedded text}. For example, one obtains

by typing

\[ M^\bot = \{ f \in V' : f(m) = 0 \mbox{ for all } m \in M \}.\]

Note the blank spaces before and after the words `for all' in the above example. Had we typed

\[ M^\bot = \{ f \in V' : f(m) = 0 \mbox{for all} m \in M \}.\]

we would have obtained