If anything is stuck in traffic, Bruno will be mad if it is late. Something is neither annoyed nor not late. If Bruno is mad, then something is annoyed. So something is not stuck in traffic.
-Which of the following claims can also be derived from the premises of this argument?
A) (∃x)Lx
B) ∼Sb $ \lor $ ∼Lb
C) ∼Mb
D) All of the above.
E) None of the above.

Question

Quizplus · Accepted Answer

Given the premises, we can deduce that if Bruno is mad, it implies something is annoyed. However, it's stated that something is neither annoyed nor not late, which contradicts the possibility of Bruno being mad based on the initial condition. Since Bruno being mad leads to something being annoyed, and we know something is not annoyed, Bruno cannot be mad. This also implies that the something is not stuck in traffic, as its lateness would make Bruno mad. Therefore, all of the options provided can be derived from the premises: A) Something is late, B) Something is not stuck in traffic or not late, and C) Bruno is not mad.

If Anything Is Stuck in Traffic, Bruno Will Be Mad ∨ \lor ∨

If Anything Is Stuck in Traffic, Bruno Will Be Mad $\lor$