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What is the question asking for?
From what I see they gave you some list of numbers from 36 to 59. And you found a list of numbers from 40 to 58. So, I understand what you did, but to know if it's correct, we'll need to know what the original question/instructions were. :)
it says to use inequality notation to express the condition x must meet in order to be a member of the set
Oh... I see. They just want you to use an equation to describe what is happening.
So, look, all the numbers are between 36 and 59. They also include 36 and 59.
To write our english word "in between" in mathematics we use two inequality signs \[36 \leq x \leq 59\] we are done! See how the "x" (any number you want) sits between the 36 and 59 just like the list they gave you? This is just a much shorter way of writing it. :)
Also, we use the "less than or equal" since 36 and 59 were allowed.
Yep, that should be enough.
We used "inequality notation" and we expressed the "condition x must meet to be in the set". No problem! :)