If you live in Miami, then you live in Florida,” write the contrapositive.

Question

asked Jan 19, 2024 144k views

1 Answer

Syma · Answer 1 · 2024-01-25T04:31:49+0000

Answer:

"If you don't live in Florida, then you don't live in Miami"

Explanation:

Currently taking discrete math... this one hits close to home haha.

The starting statement is an implication in the form:

$p \rightarrow q$

p: if you live in Miami

q: then you live in Florida

The contrapositive of this implication will be in the form:

$\\eg q \rightarrow \\eg p$

$\\eg q$ : if you don't live in Florida

$\\eg p$ : you don't live in Miami

Combine the two with the implication for the final phrase:

"If you don't live in Florida, then you don't live in Miami"