Rey Received the Highest Grade on Test #1

question 191

Multiple Choice

Rey received the highest grade on Test #1. Spencer, who is not Rey, received a grade on Test #1. So, Rey's grade is higher than Spencer's. (r: Rey; s: Spencer; t: Test #1; Gxy: x is a grade on y; Hxy: x is higher than y; Rxy: x received y)
-Which of the following claims can also be derived from the premises of this argument?

• A) (∃x)(∃y)(Gxt • Gyt • Hxy)
• B) (∀x)[Gxt ⊃ (∃y)(Hxy • Gyt)]
• C) (∀x)(∀y)(Hxy ⊃ ~Hyx)
• D) (∃x)(∀y)[(Gxt • Gyt) ⊃ Hyx]
• E) (∃x)(∃y)(∃z)(Gxt • Gyt • Gzt • x≠y • y≠z • x≠z)

---

Definitions:

Demand Function

A mathematical expression showing the relationship between the quantity of a good or service demanded and its price, among other factors.

Stadium Capacity

The maximum number of spectators that a sports venue can accommodate.

Reservation Price

The maximum or minimum price a consumer is willing to pay for a good or service.

Utility Function

A mathematical representation of a consumer's preference ranking for various bundles of goods, used in economics to analyze consumer behavior.