in Mathematical Logic retagged by
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in Mathematical Logic retagged by
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2 Answers

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I am having confusion between these two,

$1$.      $\forall x\exists y(I(x) \Lambda I(y) \Lambda C(x,y))$

$2$.      $(\forall x(I(x) \rightarrow \exists y(I(y) \Lambda C(x,y)))$

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I think option 2

Beacuse in the statement they everyone in the class has internet connection it means they said about all the student ie"For all"

Secondly chatted over the internet with atleast one other student in the class they compaire about the students and one student
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$ 𝐼(𝑥)=$“$𝑥$ has an internet connection”
$𝐶(𝑥,𝑦)=$ “$𝑥$ and $𝑦$ have chatted over the Internet”
$Domain(x,y)=$ $\{𝑥$ and $𝑦$ consists of all students in your class.$\}$

“Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class.”

can be reinterpreted as:

“For every student in your class, if they have an internet connection, then there exists at least one other student with an internet connection, with whom they have chatted.”

$=\forall x[I(x) \rightarrow \exists y(I(y) \land C(x,y))]$

 

Option (2.) is indeed the answer.

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