Consider the following inequality: $( * ) : \quad a | x | + 1 \leq | x - 2 |$ where $a$ is a real constant. Which one of the following describes the complete set of values of $a$ such that (*) is true for all real $x$ ?
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Consider the following inequality:
$( * ) : \quad a | x | + 1 \leq | x - 2 |$
where $a$ is a real constant.
Which one of the following describes the complete set of values of $a$ such that (*) is true for all real $x$ ?