Identify the rule of inference that is used to derive the conclusion "You do not eat tofu" from the statements "For all x, if x is healthy to eat, then x does not taste good," "Tofu is healthy to eat," and "You only eat what tastes good."

1 (b) ∀ (A (x) ⇒ B (x))

2 (b) ∀ (B (x) ⇒ C (x))

3 (b) ∀ (B (x) ⇒ E (x))

Step-by-step explanation:

1) Tofu is healthy

2) Tofu is healthy to eat

3) Tofu eats what taste good

1a) For all x, if x is healthy to eat

2a) For all x, if x is not healthy to eat, then x does not taste good.

3a) For all x, if x is healthy to eat, then x is healthy to eat what tastes good

For all x in order to symbolize the statement

1 (a) 2 (a) 3 (a)

If we use:

A (x) : Tofu is healthy

B (x) : Tofu is healthy to eat

C (x) : Tofu eats what taste good

E (x) : Tofu only eat what tastes good

If we symbolize "For all x" by the symbol ∀ then then the propositions 1 (a), 2 (a) and 3 (a) can be written as:

1 (b) ∀ (A (x) ⇒ B (x))

2 (b) ∀ (B (x) ⇒ C (x))

3 (b) ∀ (B (x) ⇒ E (x))