Given the set a = {x | x ≥ 4}, the domain of G (x) = 1 / √ 1-x + A is B. If a ∩ B = empty set;, what is the range of real number a?

Given the set a = {x | x ≥ 4}, the domain of G (x) = 1 / √ 1-x + A is B. If a ∩ B = empty set;, what is the range of real number a?

B 1-x+a>0
a+1>x
Because a ∩ B = an empty set, B is a subset of {x | x < 4}
So a + 1 ≤ 4, a ≤ 3