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

question 152

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
-Only Sean and Diego are both on the Dean's list and philosophy majors.

• A) (∀x)[(Dx • Px) ⊃ (x=s • x=d)]
• B) (∀x)[(Dx • Px) ⊃ ~(x=s • x=d)]
• C) Ds • Ps • Dd • Pd • [(∃x)(Px • Dx) ⊃ ~(x=s • x=d)]
• D) Ds • Dd • Ps • Pd • (∀x)[(Dx • Px) ⊃ (x=s \( \lor \) x=d)]
• E) Ds • Ps • Dd • Pd • (∀x)[(Dx • Px) ⊃ ~(x=s • x=d)]

---

Definitions:

Heating System

A mechanism for maintaining temperatures at an acceptable level; by using thermal energy within a home, building, or other dwelling.

Required Rate Of Return

The minimal annual profit rate required to attract investment from individuals or corporations into a specific security or initiative.

Net Present Value

A financial analysis technique used to estimate the viability of projects or investments by discounting expected future cash flows to their present value.

Payback Period

The duration of time it takes to recoup the initial investment in a project or asset.