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:

Pharmacology

The branch of medicine and biology concerned with the study of drug action on biological systems.

Psychiatrist

A medical doctor specialized in diagnosing, treating, and preventing mental, emotional, and behavioral disorders, often through medication.

Clinician

A health professional involved in the diagnosis, treatment, and care of patients.

Empiricism

A theory in philosophy that states knowledge comes only or primarily from sensory experience.