 # Representing a sentence with quantified statements My approach to this question: <mi mathvarian hushjelpw4 2022-05-23 Answered
Representing a sentence with quantified statements
My approach to this question: $\mathrm{\exists }x\left(P\left(x\right)\to R\left(x\right)\right)$
I cannot verify if my answer is correct, any help to verify my answer would be appreciated and if I did wrong any help to explain why would also be appreciated.
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Step 1
Your answer is on the right track, but it is saying “if x is a student then x is shy.”
We are looking for a person who is a student and is shy. Reason why, if someone is a student doesn’t necessarily make them shy, but there is a student that is shy.
Step 2
So the correct translation would be, $\mathrm{\exists }x\left(P\left(x\right)\wedge R\left(x\right)\right)$. This translation is saying x is shy and x is a student.