
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the quadratic inequality $x^{2}-ax-x < 0$, where $a \in \mathbb{R}$, let set $M$ denote the solution set. Let set $N$ denote the solution set of the inequality $x^{2}-2x-3 \leqslant 0$.

(I) Find set $M$ when $a=1$.

(II) Determine the range of real values for $a$ such that $M \subseteq N$.

Present the answer in LaTex format: \boxed{Your answer}
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