Hey Jskid
When thinking about the contrapositive consider this.
The original statement: if m then n
Then the contrapositive will be: if not n then not m.
does this help?
P.S. to avoid those nasty latex errors use "tex" tags not "math" tags.
Find the contrapositive. If there exists real numbers x and y with x y and then f is not one-to-one
I got:
if f is one-to-one then for all real numbers x and y with x=y or
Why is it still = and not ?
Hey Jskid
When thinking about the contrapositive consider this.
The original statement: if m then n
Then the contrapositive will be: if not n then not m.
does this help?
P.S. to avoid those nasty latex errors use "tex" tags not "math" tags.
We have .
Should be: "...then for all real numbers x and y, it is the case that x=y or ." (The phrase "it is the case that" is inserted just to avoid two mathematical expressions with no words between them.) Alternatively, "...then for all real x and y, if , then ."
What is "still" = ?. The assumption was ; its negation is .
Yes, but without the initial "If."
The last equation does change to inequation.