
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 universe set $U = \mathbb{R}$, let the set $M = \{ x | x \geq 1, x \in \mathbb{R} \}$ and $N = \{ x | 0 \leq x < 5, x \in \mathbb{R} \}$. Determine the set $N \cap (\overline{M})$.

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