if amira is healthy or she takes breakfast then she cycles and goes to school. if she goes to school then her mother is happy. her mother is not happy. therefore, she is not healthy.

a] declare the primitive proposition in the argument above using symbols p,q,r and s
b] write the premises of the argument using those symbols.
c] prove the validity of the argument by using the rules of inference.

Question

if amira is healthy or she takes breakfast then she cycles and goes to school. if she goes to school then her mother is happy. her mother is not happy. therefore, she is not healthy.

a] declare the primitive proposition in the argument above using symbols p,q,r and s
b] write the premises of the argument using those symbols.
c] prove the validity of the argument by using the rules of inference.

triciaal · Answer

without the symbols or rules here is my input  hope it helps 

If Amira is healthy she goes to school.
If Amira goes to school her mother is happy.
Her mother is not happy  Amira did not go to school.
it is possible She did not go to school because she was not healthy