General Mathematics Gen Math is Love | Page 4

( A v J)- > H Given

There are five boys that joined the track and field competition. If either Allen wins or James loses, then Henry wins. If either Henry or Kyle wins, then Paul loses. Either Henry or Allen wins. But it is false that Henry wins. Hence, Kyle loses.

K – Kyle

J – James P-Paul

H – Henry A – Allen

( H v P)- > ~ K

Given

( A v P)

Given

~ P

Given

Show: ~ K

A

3, 4, DS

( A v J)

5, Add

H

1,6 MP

( H v P)

7, Add

~ K

2,8 MP