Name the Property of Equality that justifies this statement:
x = x
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
Use the truth table to test the validity of the following argument.
If you play varsity sports, then you are dismissed from school an hour early.
You are dismissed from school an hour early.
Therefore, you are a varsity athlete.
valid
invalid
I'm really not sure about the first one. Reflexive Property? And I'm very torn with the second one, I'm leaning slightly towards valid because it suggests that the person playing (me) is dismissed from school, so therefor, I'm an athlete. But I'm not sure... Please help? Thanks
2 answers
symmetric property
I know it’s kinda like you could get dismissed from School an hour early for a different reason, and it would make more sense if the first statement was converse. For example if you are dismissed from school and hour early then you play varsity sports. But it’s asking to test the Validility of the argument based on The information, and if you think about it, if it asked you to draw a conclusion based on the information you would probably say that you are a varsity athlete. Therefore I believe it is valid.