Select the Best Translation into Predicate Logic, Using the Following

question 64

Multiple Choice

select the best translation into predicate logic, using the following translation key:
a: Ahmed
b: Bhavin
c: Chloe
d: Delfina
e: Eduardo
i: Irving
f(x) : the father of x
g(x) : the mother of x
f(x,y) : the only son of x and y
Lxy: x loves y
Sxy: x is a sister of y
Txy: x teaches y
-If anyone teaches the only son of Chloe and Eduardo, then someone teaches both Irving and Bhavin.

• A) (∀x)Txf(c,e) ⊃ (∃x)(Txi • Txb)
• B) (∃x)Txf(c,e) ⊃ (∃x)(Txi • Txb)
• C) (∀x)Tf(c,e) ⊃ (∃x)Tib
• D) (∃x)Txf(c,e) ⊃ (∃x)Txib
• E) Taf(a,e) ⊃ [(∃x)Txi • (∃x)Tbi]

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Definitions:

Child

A young human being below the age of puberty or below the legal age of majority.

Painter

An artist who creates visual works primarily using paint as a medium on surfaces such as canvas, wood, walls, or paper.

Production Incentives

Rewards or benefits given to employees to motivate them to increase their output or efficiency in the production process.

Piecework

A payment method by which employees are paid a fixed rate for each unit produced or action performed, regardless of time.