"or" conditional in Python troubles

I'm learning Python and I'm having a little bit of a problem. Came up with this short script after seeing something similar in a course I'm taking. I've used "or" with "if" before with success (it doesn't show much here). For some reason I can't seem to get this working:

test = raw_input("It's the flying circus! Cool animals but which is the best?")
x = test.lower()
if x == "monkey" or "monkeys":
    print "You're right, they are awesome!!"
elif x != "monkey" or "monkeys":
    print "I'm sorry, you're incorrect.", x[0].upper() + x[1:], "is not the right animal."

But this works great:

test = raw_input("It's the flying circus! Cool animals but which is the best?")
x = test.lower()
if x == "monkey":
    print "You're right, they are awesome!!"
elif x != "monkey":
    print "I'm sorry, you're incorrect.", x[0].upper() + x[1:], "is not the right animal."

Probably the or conditional does not fit here. But I've tried and, etc. I'd love a way to make this accept monkey or monkeys and everything else triggers the elif.