Given that the function f (x) = x ^ 2 + 4x + 3, the inequality f (x) > A is r for any x, then the value range of real number a is?

Given that the function f (x) = x ^ 2 + 4x + 3, the inequality f (x) > A is r for any x, then the value range of real number a is?

Given the function f (x) = x ^ 2 + 4x + 3, the inequality f (x) > a holds for any x belonging to R
x^2+4x+3-a>0
So Δ = 16-4 (3-A)