Prove That for All Sets $A$ And $B _ { 1 } , B _ { 2 } , \ldots B _ { n }$

question 15

Essay

Prove that for all sets $A$ and $B _ { 1 } , B _ { 2 } , \ldots B _ { n }$ ,
$A - \bigcap _ { i = 1 } ^ { n } B _ { i } = \bigcup _ { i = 1 } ^ { n } \left( A - B _ { i } \right)$

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Definitions:

Transmission

The act of conveying or spreading something from one place, person, or thing to another.

Infectious Chancre

A painless ulcer, typically acquired through sexual contact, that is a primary symptom of syphilis.

Syphilis

A sexually transmitted bacterial infection caused by Treponema pallidum, which can present in various stages and cause long-term complications if not treated.

Chlamydia

A common sexually transmitted infection (STI) caused by the bacterium Chlamydia trachomatis, often asymptomatic.