Here are hints on the first one.
You can see that is one equivalnce class because .
But is also a single class.WHY?
I need help with the following:
f(x) = x^2 +2x + 5 and let E = {-5,-4,-3,-2,-1,0,1,2,3,4,5}
Define the relation R in E as follows: xRy if f(x) = f(y).
I need to find the equivalence classes of R and I'm completely confused, all the examples we've done in class were a lot more simple so I can't get anything out of my notes.
The second problem I'm pretty much done with:
For the following 2 relations on the set L of all living people I'm supposed to state if it is reflexive, symm, anti-symm, and transitive. Then if its a partial order indicate if the set has a maximum, minimum, maximals and minimals and explain what they mean. I'm just having trouble with the latter part.
the relations are:
xRy if X and Y have the same first name
xRy if x and y have the same major
Really appreciate help from anyone. Thanks