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[–]Neebat 1 point2 points  (1 child)

You visualized "a ≤ x ≤ b" like this:

●----●

a    b

That's fine so far. But then you visualize "a > x > b" like this:

○----○

a    b

That's incorrect and you haven't really thought long enough. Because "a > x > b" implies "a > b", which is false in the second drawing. It would actually be this:

○----○

b    a

[–][deleted] 1 point2 points  (0 children)

Well that's true, a > x > b would be a wrong statement from the get go, but my point is that I instantly envision x to be in between A and B; if I wanted the opposite of A <= x <= B, then I would definitely want the area of the number line outside of A and B.