Question 146
The inequality $$
|x-1|\lt a x
$$ is considered where $a$ is a real parameter.
a) Discuss the inequality according to the values of $a$.
b) Characterize the values of $a$ for which the inequality has exactly two integer solutions.
|x-1|\lt a x
$$ is considered where $a$ is a real parameter.
a) Discuss the inequality according to the values of $a$.
b) Characterize the values of $a$ for which the inequality has exactly two integer solutions.