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Inequality help

This is so very basic, but simply can't remember the answer -

Can the inequality "z>4 or z<-3" be written as "4<z<-3" ?

I've written the latter but the mark scheme says the former, and I'm just curious if they're equivalents. Sorry for the dumb question, I'm still very much in summer holiday mode.
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naka
5
Your answer says that -3 is bigger than 4.
Either z is larger than 4 or it is smaller than -3, it can't be both.
But your answer is saying that z is both larger than 4 and smaller than -3, which is impossible.

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