ragged edge

the extreme edge, like that of a precipice; verge: the ragged edge of poverty

See ragged edge in American Heritage Dictionary 4

noun
  1. The edge of a cliff.
  2. A dangerous or precarious position; a brink: “the gray, grainy, complex nature of existence and the ragged edges of our lives as we actually live them” (A. Bartlett Giamatti).

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