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Arturiano [62]
3 years ago
5

When is 20% off better than 20$ off

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

Price > 100$

Price > 150$

Step-by-step explanation:

Let us assume that x% off of price y$  is better than x$ off.

Hence, \frac{xy}{1000} > x  

Hence, y > 100

Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)

Again, assume that 20% off on price y$ is better than 30$ off.

Hence, \frac{20y}{100} > 30

⇒ y > 150$

Therefore, when the price is more than 150$, then only 20% of on the price is better than 30$ off. (Answer)

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Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

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and

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and

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In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

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The existential generalisation from above gives

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PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

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Answer:

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