1. The problem is to determine if the boolean expression representing the equality $4! = 4 + 0j$ is true or false. 2. Calculate $4!$ (4 factorial): $$4! = 4 \times 3 \times 2 \times 1 = 24$$ 3. Calculate the right side: $$4 + 0j = 4 + 0i = 4$$ (a complex number with zero imaginary part, equals 4) 4. Compare both sides: $$24 \neq 4$$ 5. Therefore the boolean expression $4! = 4 + 0j$ is FALSE.