knife–edge
/ˈnaɪfˌɛʤ/
noun
Britannica Dictionary definition of KNIFE–EDGE
[singular]
:
something that is very narrow or sharp
on a/the knife-edge
:
in a dangerous or important situation in which two very different results are possible
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a region resting on a knife-edge after several wars
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The election results hung on a knife-edge.
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living on the knife-edge of poverty