Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5 if and only if y = 9. B) x = 5, and 2x ≠ 8. C) x = 5, but y = 9. D) If x = 5, then 2x = 10.

Respuesta :

Answer: D) if x = 5, then 2x = 10

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Explanation:

Writing [tex]P \to Q[/tex] is another way of saying "if P, then Q".

P and Q are placeholders. Instead of holding numbers, they hold statements. The statements can be anything you want (generally they should be something that can be verified).

The two statements are

P: x = 5

Q: 2x = 10

So the format "if P, then Q" turns into "if x = 5, then 2x = 10" after replacing P and Q with the proper definitions.

Side note: it might help to think of the "search and replace" feature in many word documents.