We are given the following interval:
(6,100].
This means that we want values greater than 6(since the interval is open at 6 it is not part of the interval) and lesser than or equal to 100(since the interval is closed at 100 it is part of the interval).
Inequality:
Greater than 6 and lesser than or equal to 100 is represented by the following inequality:
[tex]6Set notation:Similar to the inequality, just with a prior notation.
[tex]\left\lbrace x\right|6