c > 0 => (a (less than or =) b <=> ac (less than

[P A N O R A M A]

I'm not entirely certain that this is the correct area for this thread, but we're covering it in our trig class, so here goes:

c > 0 => (a (less than or =) b <=> ac (less than or =) bc)
Show 8 cases.

Once I get the cases I can do it, but I'm not sure how to find them.

Any amount of help would be appreciated.

 

[daon]

This seems terribly inefficient... (edited)

0 < a < b
a < 0 < b
a < b < 0
a = b < 0
a = 0 < b
0 < a = b
a < b = 0
a = 0 = b

 

[P A N O R A M A]

I woudln't worry about it, I got help from a friend of mine. Thanks though.