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Prove or Disprove: for All Integers a,b,c, if ac and bc, then (a+b)ca , b , c \text {, if } a \mid c \text { and } b \mid c \text {, then } ( a + b ) \mid c \text {. }

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Prove or disprove: For all integers a,b,c, if ac and bc, then (a+b)ca , b , c \text {, if } a \mid c \text { and } b \mid c \text {, then } ( a + b ) \mid c \text {. }


Definitions:

Tympanostomy

A surgical procedure involving the insertion of a tube into the eardrum to drain fluid and prevent ear infections.

Otitis Media

An infection or inflammation of the middle ear, often resulting in pain, fever, and sometimes temporary hearing loss.

Otosclerosis

Condition characterized by progressive deafness caused by the fixation of the stapes of the middle ear.

Optic Disc

The blind spot where the optic nerve exits from the retina of the eye.

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