
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
Let $P=\{m|-1<m\leq0\}$, and $Q=\{m\in\mathbb{R}|mx^2+4mx-4<0\}$ for any real number $x$. Which of the following relationships is true?
1. $P\subsetneq Q$
2. $Q\subsetneq P$
3. $P=Q$
4. $P\cap Q=Q$

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