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I need to Reduce a complicated function and I want to exclude some conditions A and B. How do I assume that the expression A is False and the expression B is False and Reduce the function?

For instance, suppose f(x,y,z) is the function I want to use Reduce on, the expression A is x> -2 and B is z> -4. How do I do:

Assuming[{A (which is x> -2) is False, B (which is z > -4) is False},Reduce[{f(x,y,z)<0,x<0,y<0,z<0}] ?

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    $\begingroup$ "A (which is x> -2) is False" is equavalent to x<=-2. $\endgroup$
    – user64494
    Commented Mar 9, 2021 at 6:56
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    $\begingroup$ Does Assuming[{\[Not]A,\[Not]B},Reduce[f[x,y,z]<0,x<0,y<0,z<0]] work? $\endgroup$
    – Adam
    Commented Mar 9, 2021 at 6:58
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    $\begingroup$ You could use Not[x>-2] $\endgroup$
    – mikado
    Commented Mar 9, 2021 at 6:59

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