
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 proposition P: ∀x∈R, log<sub>2</sub>(x<sup>2</sup>+x+a) > 0 always holds true, and proposition Q: ∃x<sub>0</sub>∈[-2, 2], such that 2<sup>a</sup> ≤ 2<sup>x<sub>0</sub></sup>, if proposition P ∧ Q is true, then the range of values for the real number a is _____.

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