Question

Unless Rachel, who either failed to study hard or succeeded in passing, does pass, Sidney will neither study hard nor fail to study hard.

Symbolize

Answer 1

The given statement can be symbolized as ¬(R → (H ∨ ¬H) → S).

Step-by-step explanation:

The given statement can be symbolized as follows:

S: Unless Rachel (R) passes, Sidney (S) will not study hard (¬H) and will not fail to study hard (¬¬H)

The symbolization is: ¬(R → (H ∨ ¬H) → S)

This means that if Rachel passes (R), Sidney will either study hard (H) or fail to study hard (¬H). On the other hand, if Rachel fails to pass (¬R), Sidney will neither study hard (¬H) nor fail to study hard (¬¬H).

Therefore, the symbolic representation of the given statement is: ¬(R → (H ∨ ¬H) → S)