
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: The equation x² + ax + $\frac{1}{16}$ = 0 has two different negative real roots; q: The inequality $\frac{1}{a}$ > 1 about a.
(1) If p is a true proposition, find the range of values for the real number a;
(2) If "p or q" is a true proposition and "p and q" is a false proposition, find the range of values for the real number a.

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