Question
Define the following predicates: A(x):x is on the board of directors. E(x) : x earns more than $100,000 . W(x):x works more than 60 hours
Define the following predicates:\
A(x):x
is on the board of directors.\
E(x)
:
x
earns more than
$100,000
.\
W(x):x
works more than 60 hours per week.\ The domain is the set of all employees of a certain company. Match each English statement with its equivalent logical expression.\ Someone on the board of directors does not earn more that
$100,000
and works more than 60 hours per week.\ There is someone who earns more than
$100,000
, but does not work more than 60 hours per week.\ Every member of the board of directors earns more than
$100,000
.\ Everyone who works more than 60 hours per week earns more than
$100,000
.\ There is someone who is not on the board of directors and earns more than
$100,000
.\ A.\
EEx(A(x)vvnotE(x)vvW(x))
\ B.
EEx(E(x)^(^())notW(x))
\ C.
EEx(notA(x)^(^())E(x))
\ D.
EEx(notA(x)->E(x))
\ E.\
EEx(A(x)^(^())notE(x)^(^())W(x))
\ F.
AAx(A(x)->E(x))
\ G.
AAx(A(x)^(^())E(x))
\ H.
AAx(W(x)->E(x))
\ I.
AAx(W(x)^(^())E(x))
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