Give a natural sounding denial of each of the following statements.
(a) 34,159 is a prime number.
(b) Roses are red and violets are blue.
(c) If there are no hamburgers, I'll have a hot dog.
(d) Fred will go but he will not play.
(e) The number x is either negative or greater than 10.
(f) We will win the first game or the second.
Not sure about these so looking for help. Did truth table for some of these.
ReplyDeleteA. 34,159 is not a prime number.
B. Roses are not red and violets are not blue.
C. Even if there are no hamburgers, I will still not have a hot dog.
D. Fred will go and will play.
E. the number x is positive and less than 10.
F. We will lose the first and the second game.
How about these?
ReplyDeleteC. If there are hamburgers, I'll not have a hot dog.
E. The number x is positive and less than or equal to 10. (In your statement, Susan, you left out the number 10).
Otherwise, I agree with you.
Here are some options for consideration that I think are true. I thought about Susan's "A," but wanted a true statement that used negation.
ReplyDeleteA. It is not the case that 39,159 is not prime.
B. Not all roses and violets are red or blue. (Unlike Susan's, this allows for red/blue roses/violets).
C. If there are hamburgers, I'll have one. (I think Diane's probably is more accurate).
D. It is not the case that Fred will go and he will play.
E. X is not negative and not greater than 10.
F. We will not win both the first and second games. (Susan's is clearer, I think).