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 =

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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)

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