The sets E and F are defined as follow

Mathematics
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The sets E and F are defined as follow

E= {y|y  ≤ 4 }

F= {y|y  > 6 }

Write E ∪ F and E ∩ F  using interval notation.

If the set is empty, write ∅

E ∩ F  =

E ∪ F =

Oct 15th, 2015

Thank you for the opportunity to help you with your question!

I assume that y is a real number. If not, let me know.

Notation: intersect represents the upside-down U; union represents the rightside-up U.

E intersect F = { y| y <= 4 and y > 6 } = The empty set (since no number can simultaneously be greater than 6 and less than or equal to 4) 

E union F = { y| y <= 4 or y > 6 } = (-infinity,4] U (6,infinity)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 15th, 2015

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