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Consider the following expressions, which use the result of a relational
algebra operation as the input to another operation. For each expression,
explain in words what the expression does.

  1.  $\sigma _{year\geq 2009}(takes)\Join student$
  2.  $\sigma _{year\geq 2009}(takes \Join student)$
  3. $\pi _{ID,name,course_id}(student \times takes)$

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