Q:

Proof question, inequalities

Please, I should verify if is truly each supposition,
knowing that (a+b)>(d+c), a>b  and c>d

a>c
a>d
b>c
b>d

That's a problem from my calculus question list. I really need help.
I tried thought induction, with no success.

A:

Only Option 2 is true
Option 1 counterexample: $$a=4,b=3,c=5,d=1$$
Option 3 counterexample: $$a=4,b=3,c=5,d=1$$
Option 4 counterexample: $$a=5,b=1,c=3,d=2$$
Option 2 proof: (where n and m are positive)
$$(a+b)>(c+d)$$
$$(a+a-n)>(d+m+d)$$
$$2a>2d+m+n$$
$$2a>2d$$
$$a>d$$

