if and given that
and , which of the follwing is true...??
(1) (2) (3) (4)
None of those are true necessarily.
Here is a counter-example which shows that:
, ,
We show that in this case:
is true by substituting:
Now we show that
is true by substituting:
Then we show that
is true by substituting:
And finally we show that
is true by substituting:
Now look at the four choices:
choice (1)
Substituting: which is false
choice (2)
Substituting: which is false
choice (3)
Substituting: which is false
choice (4)
Substituting: which is also false.
So you can tell your teacher that this is a bogus problem.
Edwin