Question

Which of these is a valid conclusion?

Swimmers do not dive in shallow water.
Cathy is a swimmer.
Therefore Cathy does not dive in shallow water.

Swimmers do not dive in shallow water.
Cathy dives in shallow water.
Therefore, Cathy is a swimmer.

Swimmers do not dive in shallow water.
Cathy is a swimmer.
Therefore Cathy dives in shallow water.

Swimmers do not dive in shallow water.
Cathy does not dive in shallow water.
Therefore Cathy is not a swimmer.

Answer 1

HINT
if a, then b
if b, then c
therefore, if a, then c

Answer 2

HINT 2:
if a, then b
a
therefore, b

Answer 3

or you can take a guess at which sounds the most reasonable

Answer 4

(these are the patterns that valid logical arguments follow)

Answer 5

let's think through that idea...

Answer 6

a

Answer 7

yes :)

Answer 8

I meant A, I didn't mean B....haha

Answer 9

By the way, the former hint is called the "law of syllogism", and the latter is called the "law of syllogism"

Answer 10

Okay great, thanks for your help

Answer 11

welcome!