Check each pair against $x > y$ and $x + y > 3$:

• $(0,4)$: $0 > 4$? No ✗
• $(1,3)$: $1 > 3$? No ✗
• $(2,1)$: $2 > 1$? Yes. $2 + 1 = 3 > 3$? No ✗
• $(3,0)$: $3 > 0$? Yes. $3 + 0 = 3 > 3$? No ✗
• $(4,1)$: $4 > 1$? Yes. $4 + 1 = 5 > 3$? Yes ✓

$(4, 1)$