Solving Propositional Calculus

2018-10-23 14:53:47

"If Jimmy takes the Math Class, Jimmy will lose his weight.

If Jimmy takes the Music Class, Jimmy will lose his hair.

Jimmy will take the Math Class and the Music Class.

Therefore, Jimmy will lose weight and hair."

Given these statements, I derived the proposition:

A: Jimmy takes the Math Class

B: Jimmy takes the Music Class

C: Jimmy will lose his weight

D: Jimmy will lose his hair

Hypothesis

A

C

Hypothesis

B

D

Hypothesis

A

B

Modus Ponen 1,2,3

C

D

Conclusion -> C

D

I am unsure of my answer and so, I would like have some feedback on my solution.