- #1
mr_coffee
- 1,629
- 1
Hello everyone.
Exam time is coming and I'm review, he let us see the answer key to a sample exam but I'm still not sure how they came up with the following:
If the variables a and b range over the set of postive integers, then is each of the following statements true or false, circle ur answers.
http://suprfile.com/src/1/3p2it9s/lastscan.jpg
1. For all a there exsits a b such that a < b. yes i see this is true,
2. For all b there exists an a such that a < b. But I'm confused on why this isn't true...or is it false based on the answer above, if for all a there exists b such that a < b?
3. There exists an a for all b such that a < b, I think i see why this is false, its a strong statement to say. if a = 5 b = 5, then this is false
4. There exists an a for all b such that a <= b, this is true becuase if u let a = b, then its always true.
5. There exists a b for all a such that a <= b, i don't see why this is also not true though.
Can someone explain to me why they are true and why they are false exactly?
Thanks!
Exam time is coming and I'm review, he let us see the answer key to a sample exam but I'm still not sure how they came up with the following:
If the variables a and b range over the set of postive integers, then is each of the following statements true or false, circle ur answers.
http://suprfile.com/src/1/3p2it9s/lastscan.jpg
1. For all a there exsits a b such that a < b. yes i see this is true,
2. For all b there exists an a such that a < b. But I'm confused on why this isn't true...or is it false based on the answer above, if for all a there exists b such that a < b?
3. There exists an a for all b such that a < b, I think i see why this is false, its a strong statement to say. if a = 5 b = 5, then this is false
4. There exists an a for all b such that a <= b, this is true becuase if u let a = b, then its always true.
5. There exists a b for all a such that a <= b, i don't see why this is also not true though.
Can someone explain to me why they are true and why they are false exactly?
Thanks!
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