Determine which, if any of the three statements are equivalent. Give a reason fo

Question

Determine which, if any of the three statements are equivalent. Give a reason for you conclusion.

I) If the sun sets in the west, the the sun does not set in the east
II) if the sun sets in the east, then the sun does not set in the west
III) Either the sun sets in the west or the sun sets in the east


a) I and II are equivalent
b) I an d III are equivalent
c) II and III are equivalent
d) I, II, and III are equivalent
e) None are equivalent

my answer is (a) Im not good at this so I need as much help as I can get.

Explanation / Answer

i think they are all equivalent and here's my reasoning. I and II are equivalent because it's saying if one thing is correct, the other can not be. For example, if the car is blue, it cannot be red and vice versa. Now three is equivalent to both I and II because it in essence is saying "the car can either be red or blue (not both)" basically, if the sun sets in the west, it doesn't set in the east and vice versa. they're all equivalent

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.