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Exercise 1.7.6: Translating quantified statements from logic to English.

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In the following question, the domain is the set of employees of a company. Define the following predicates:

• A(x): x is on the board of directors. (Note: members of the board of directors are also employees.)
• E(x): x earns more than $100,000
• W(x): x works more than 60 hours per week

Translate the following logical expressions into English:

(e)

x (E(x) (A(x) W(x)))

(f)

x (A(x) E(x) W(x))