Predicate Logic Question - Let T(a) be "a is a teacher" and S(a) be "a is a student" - What is "Every Teacher is also a student"

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I had this question on a previous exam and am trying to understand where I went wrong. My attempt for this question yielded me: $$\forall x(T(x)\land S(x))$$ My logic in thinking this was the solution was due to the word Every in the statement. This must mean it was a universal quantifier for $x$. And since $x$ was a teacher and also a student, I ended up with the previously stated solution.

I don't know where I went wrong.