Prove or Disprove: for All Integers A, B, C, D $$( a + c ) \mid ( b + d )$$

question 109

True/False

Prove or disprove: For all integers a, b, c, d, if a|b and c|d, then $$( a + c ) \mid ( b + d )$$

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Definitions:

Inner Ear

The innermost part of the ear, containing the cochlea, vestibule, and semicircular canals, responsible for hearing and balance.

Tympanic Membrane

A thin membrane that separates the external ear from the middle ear and vibrates in response to sound waves; commonly known as the eardrum.

Oval Window

A membrane-covered opening that leads from the middle ear to the cochlea of the inner ear, transferring vibrations to fluid within the cochlea.

Eustachian Tube

The Eustachian Tube is a narrow passage connecting the middle ear with the nasopharynx, helping to equalize air pressure on either side of the eardrum.