Final answer:
The logical expression for the given statement is translated to 'T → (R ∨ F) → G', representing the conditions with the propositions T for Tissot, R for radio, F for Fossil, and G for Gucci.
Step-by-step explanation:
The logical expression translation of the statement 'If Tissot has luminous hands, then if either radio advertises a calendar model or Fossil is water resistant, then Gucci features stainless steel' can be represented using propositional logic.
Let's define the following propositions:
T: Tissot has luminous hands
R: Radio advertises a calendar model
F: Fossil is water resistant
G: Gucci features stainless steel
The statement can be broken down into two conditional expressions:
If Tissot has luminous hands (T), then the second condition must be true.
If either radio advertises a calendar model (R) or Fossil is water resistant (F), then Gucci features stainless steel (G).
Using logical operators, this can be expressed as:
T → (R ∨ F) → G
This reads as 'If T, then if R or F, then G.'