All employees at fashionmart get 20% off all clothing and accessories. kim li recently bought a t-shirt at fashionmart for a 20% discount. conjecture: kim li works at fashionmart. use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. a. true; law of detachment b. true; law of syllogism c. false; a t-shirt does not qualify for the 20% discount d. false; kim li could have received a 20% sale discount

Option D is correct.

false; Kim Li could have received a 20% sale discount

Step-by-step explanation:

Deductive reasoning follows the direction of the statements to arrive at a logical conclusion.

The statement for this question is that "All employees at FashionMart get 20% off all clothing and accessories"

A further statement that 'Kim Li recently bought a T-shirt at FashionMart for a 20% discount'

And the conclusion reached was that Kim Li works at FashionMart.

This isn't a logical conclusion accordimg to deductive reasoning (working from the statement to the conclusion). The only logical conclusion that one can make from the first statement is that if Kim Li worked at FashionMart, then he would have got the 20% discount.

This conclusion is lopsided as the statements did not say that only employees can get the 20% discount, so, for all we know, Kim Li may be a lucky customer that got the 20% discount.

So, this conjecture is false as Kim Li, just like any person (non employee), could have gotten the discount.

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step-by-step explanation: 2