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Consider a single input single output discrete-time system with $x[ n ]$ as input and $y [ n ]$ as output, where the two are related as$$y [ n ]= \begin{cases} n \mid x [ n ] \mid, & \text{ for } \ 0\leq n\leq 10\\ x [ n ] – x [ n-1 ], & \text{otherwise.}\end{cases}$$ Which one of the following statements is true about the system?

- It is causal and stable
- It is causal but not stable
- It is not causal but stable
- It is neither causal nor stable