Final answer:
The inequality with square roots provided in the question lacks sufficient information to determine the relationship between 'a' and 'b'. The solutions given seem unrelated as they refer to quadratic equations, not inequalities.
Step-by-step explanation:
The question asks to solve an inequality involving square roots: square root a - b < square root a - square root b. This type of problem typically requires one to isolate the variable under consideration, in this case, 'a'. However, the provided solutions appear to be unrelated to the initial inequality, as they discuss quadratic equations, which involve solving for an unknown variable using the quadratic formula, -b ± √(b² - 4ac) / (2a).
To resolve the inequality properly, additional context or information is needed about 'a' and 'b', such as whether they are positive or negative, or any other conditions they must meet. Therefore, based on the information provided, the answer would be (d) Insufficient information. Moreover, please check the question as it seems to have some typos or missing parts that make it hard to understand as it stands. Make sure to verify 'a' and 'b', and if there are any restrictions that apply to them.