
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 that $A$ and $B$ are non-empty sets, the operation $A - B$ is defined as $x \mid x \in A$ and $x \notin B$. If $M = \{x \mid y = \sqrt{1-x}\}$ and $N = \{y \mid y = x^2\}$, where $-1 \leq x \leq 1$, find $M - N = \_\_\_\_\_\_.$

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