-Determine whether the conjection is true or false. Give a counterexample for any false conjecture-
Given: m + y > 10, y > 4
Conjecture: m < 6
If I knew what in the world the ">" and "<" signs meant, I might be able to work the problem. Please could you tell me what > and < means? And how do you find whether it is true or false after that?
look at it this way:
let's say
then what is likely to be true for ?
well, since , if we add 1, then , since we added one more to both sides.
is it possible that ? yes, only if , but otherwise, no. in general, it will be the case that , since can be 4 or greater, adding 1 makes it 5 or greater
think about this for a while, if you don't get it, say so