Question 49
Consider the inequality $\sqrt{x} + \sqrt{2 - x} \geq \sqrt{a}$, where $a$ is a real number.
a) Solve the inequality for $a = 3$.
б) Find all $a$, for which the set of solutions of the inequality is a segment (possibly, a point) of length less than or equal to $\sqrt{3}$.
a) Solve the inequality for $a = 3$.
б) Find all $a$, for which the set of solutions of the inequality is a segment (possibly, a point) of length less than or equal to $\sqrt{3}$.