Disjunction
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
p ∨ q is inclusive: true when either disjunct is true, or both. False only when both fail.
Show
"The alarm triggers if there's smoke or heat" — both at once certainly counts.
Watch for
Inclusive is the default. English sometimes means exclusive — the next video handles that.