Question 36
Consider the inequality $|x^{2}-5x+6| \leq x+a$, where $a$ is a real parameter.
a) Solve the inequality for $a=0$.
b) Find the values of $a$ for which the inequality has exactly three integer solutions.
a) Solve the inequality for $a=0$.
b) Find the values of $a$ for which the inequality has exactly three integer solutions.