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