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 statments true or false, circle ur answers. 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!