Question

Express oach of to oll Le σ be the statement r has an Inter e connoc on lot z y bo tho state am z and y hovo chat ad over te rborne studets in your class. Put the appropriate letter next to the conesponding symbolic torm ng statem on s n terms of z and z, y quanti ors, and log'cal oorroctvos st the unvors。of discourse or the von blas z and y consist of all 2. ClJan, Sharon) 6. -Rachel, Chelsea) di) Someone in your cless does not heve internet connecton e) There are tan students in your class who have nal chatled ower the intenet Exacty one studont in your class has an intomet connection. r) Exacty one studont 9) Everyone in your cess with an mernet conecton has ㎝atted over the nternet with at least one other student in your class h) Thero arot loost two students in your dass who hovo not chatod wit, tho samo porson in your class

Answer 1

Answer :-

e $\rightarrow$ 1. $\exists x \exists y (y \not= x \wedge \lnot C(x,y)))$

b $\rightarrow$ 2. $C(Jan,Sharon)$

h $\rightarrow$ 3. $\exists x \exists y (y \not= x \wedge \forall z \lnot (C(x,z)\wedge C(y,z))$

d $\rightarrow$ 4. $\exists x \lnot I(x)$

c $\rightarrow$ 5. $\forall x \lnot C(x,Bob)$   

a $\rightarrow$ 6. $\lnot (C(Rachel,Chelsea)$

g $\rightarrow$ 7. $\forall x (I(x)) \rightarrow \exists y ( x \not= y \wedge C(x,y))$

f $\rightarrow$   8. $\exists x (I(x) \wedge \forall y ( I(y) \rightarrow y=x))$