The domain of the following predicates is the set of all plants.
P(x) = "x is poisonous."
Q(x) = "Jeff has eaten x."
Translate the following statement into predicate logic.
Jeff has never eaten a poisonous plant.

(∃x)(P(x) → Q(x))

(∀x)(P(x) → ¬Q(x))

(∃x)(¬P(x) ∧ ¬Q(x))

(∀x)(Q(x) → P(x))

(∃x)(¬Q(x) → P(x))

Question

The domain of the following predicates is the set of all plants.
P(x) = "x is poisonous."
Q(x) = "Jeff has eaten x."
Translate the following statement into predicate logic.
Jeff has never eaten a poisonous plant.

(∃x)(P(x) → Q(x))

(∀x)(P(x) → ¬Q(x))

(∃x)(¬P(x) ∧ ¬Q(x))

(∀x)(Q(x) → P(x))

(∃x)(¬Q(x) → P(x))

rules · Answer

Need help?

Vocaloid · Answer

@Angle @sillybilly123 @jimthompson5910 if any of you are familiar with this would you mind helping? I've tried looking up what these symbols mean but I don't fully understand them sorry >_>

Hero · Answer

"∃x"  means for some values of x
"∀x" means for all values of x
"¬" means not
"∧" means and
"→" means implies

MAGABACK · Answer

@hero wrote:

"∃x" means for some values of x "∀x" means for all values of x "¬" means not "∧" means and "→" means implies

when do I start learning these? 11th grade?

Hero · Answer

@magaback wrote:

@hero wrote:

"∃x" means for some values of x "∀x" means for all values of x "¬" means not "∧" means and "→" means implies

when do I start learning these? 11th grade?

As early as possible.