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))

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. 1. Someone on the board of directors does not earn more that $100,000 and works more than 60 hours per week. 2. There is someone who earns more than $100,000, but does not work more than 60 hours per week. 3. Every member of the board of directors earns more than $100,000. 4. Everyone who works more than 60 hours per week earns more than $100,000. 5. There is someone who is not on the board of directors and earns more than $100,000. A. x(A(x)E(x)W(x)) B. x(E(x)W(x)) C. x(A(x)E(x)) D. x(A(x)E(x)) E. x(A(x)E(x)W(x)) F. x(A(x)E(x)) G. x(A(x)E(x)) H. x(W(x)E(x)) I. x(W(x)E(x))