Prove That $A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C )$

question 14

Essay

Prove that $A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C )$ by giving a proof of using logical equivalence.

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Definitions:

Osteoarthritis

A degenerative joint disease characterized by the breakdown of cartilage and underlying bone, causing pain and stiffness, primarily in the elderly.

Low Back Pain

Discomfort located primarily in the lower area of the back, which can result from various factors including muscle strain, spine alignment issues, or underlying conditions.

Migraine Headaches

Severe, debilitating headaches often accompanied by nausea, vomiting, and sensitivity to light and sound.

Antidepressant Medication

Drugs prescribed to alleviate or prevent the symptoms of depression by adjusting brain chemistry.