Self Doubt:Mathematical Logic

Question

Represent these two statement in first order logic:

$A)$ Only Alligators eat humans

$B)$ Every Alligator eats humans

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Is Every represents $\equiv \exists$

and Only represents $\equiv \forall$ ??

Can we differentiate it with verb ‘eat’ and ‘eats’??

Comments

I don't know Bengali but try concerning the sentences to Bengali (your mother tongue) before using logic.

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Actually , in bengali they are very similar meaning.

And From joint entrance and onwards , I never read anything in  bengali.

So, problematic in that too

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There

Only means " Only one"

Every means "All"

But, predicate logic not supports it

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What is meaning of Everyone in english translation

Is it not mean All ??

But in predicate logic it means each one and that represents by there exists$\left ( \exists \right )$ i.e. representation of "some" but not "all'

right??

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https://math.stackexchange.com/questions/3230444/difference-between-only-and-every-keyword-in-mathematical-logic?noredirect=1#comment6646025_3230444