
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 p: ∀x∈R, ax<sup>2</sup>\-x+3＞0, q: ∃x∈\[1，2], a•2<sup>x</sup>≥1.
(1) Find the range of values for a if p is a true proposition;
(2) Find the range of values for a if p∧q is a true proposition, but p∧q is a false proposition.

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