5. Given p is true, q is true, and r is false, find the truth value of the state

Question

5.
Given p is true, q is true, and r is false, find the truth value of the statement ~q (p ~r).
Show step by step work. Use keyboard shortcuts of --> for , <--> for ?, V for , and ^ for , if needed.

7. Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solution to the dropbox.

If the koi are swimming in the pond, then the birds are chirping.
The birds are not chirping.
The koi are not swimming in the pond.

8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) If the dog wags its tail, then the dog is not calm.
II) Either the dog does not wag its tail or the dog is not calm.
III) If the dog is not calm, then the dog wags its tail.
a.I, II, and III are equivalent
b. I and II are equivalent
c. II and III are equivalent
d. I and III are equivalent
e. None are equivalent

Explanation / Answer

NOTE:Please read it carefully and let me know if I have missed anything or you need more help on this before you click ACCEPT.I would be more than glad to assist you if you need more help. Given p is true,q is true,and r is false,find the truth value of the statement ~p -> (q V ~r). Show step by step work. Use keyboard shortcuts of -->for , for ?, V for , and ^ for , if needed. Solution: First convert the statement into T and F form, ~p -> (q V ~r) ~T? (T V ~ F) because p is true, q is true and r is false F? (T V T) because negation of ~T is equal to F and negation of ~F is equal to T F? T T Note: The truth value of the statement is True.

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