Select the Best Translation into Predicate Logic, Using the Following $\lor$

question 298

Multiple Choice

select the best translation into predicate logic, using the following translation key:
d: Diego
s: Sean
Dx: x is on the Dean's list
Px: x is a philosophy major
Sx: x is a student
Vx: x is a valedictorian
-There are exactly two philosophy majors on the Dean's list.

• A) Pd • Ps • Dd • Ds
• B) (∃x)(∀y)[(Px • Py • Dx • Dy) ⊃ x=y]
• C) (∀x)(∀y)(∀z)[(Px • Py • Pz • Dx • Dy • Dz) ⊃ (x =y \( \lor \) x=z \( \lor \) y=z)]
• D) (∃x)(∃y){Px • Dx • Py • Dy • x≠y • (∀z)[(Pz • Dz) ⊃ (z=x \( \lor \) z=y)]}
• E) ~(∃x)(∃y)(∃z)(Px • Py • Pz • Dx • Dy • Dz • x≠y • x≠z • y≠z)

---

Definitions:

Net Cost

The actual cost of a product or service after all discounts, rebates, or allowances have been applied.

Breakeven

A situation where the sum of all costs equals the sum of all revenues, with no profit or loss occurring.

Mark-up

The amount added to the cost price of goods to cover overhead and profit, often expressed as a percentage of the cost.

Operating Expenses

Costs associated with the day-to-day operations of a business, excluding cost of goods sold.