
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 propositions p: "The foci of the ellipse $\frac{x^{2}}{5}+ \frac{y^{2}}{a}=1$ are on the x-axis" and q: "The quadratic inequality $3x^2+2ax+3\geq0$ holds for all real $x$".
(1) If proposition p is true, find the range of values for the real number $a$.
(2) If the proposition "p or q" is true and "p and q" is false, find the range of values for the real number $a$.

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