
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 the odd function $f(x)$ is a decreasing function on $\mathbb{R}$, and $f(3) = -2$, let $P = \{x \,|\, |f(x + t) - 1| < 1\}$, and $Q = \{x \,|\, f(x) < -2\}$. If "x ∈ Q" is a necessary but not sufficient condition for "x ∈ P", then the range of values for the real number $t$ is ______.

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