Final answer:
To determine the value of b so that the equation has no solution, set b < 0.
Step-by-step explanation:
To determine the value of b so that the equation has no solution, we need to analyze the expression |(x - 3)² - 4| - b. The absolute value expression will always be non-negative, so for the equation to have no solution, the expression inside the absolute value must always be negative. In this case, the expression inside the absolute value is (x - 3)² - 4. To ensure this expression is always negative, we need to remove the constant term -4 by setting b to the opposite sign, which is d. b < 0.