
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 $p$ and $q$: $p$ states that the equation $x^{2}-mx+1=0$ has no real solutions, and $q$ states that the ellipse $\frac{x^{2}}{m} + y^{2} = 1$ has its foci on the $x$-axis. If "$p \vee q$" is true and "$p \wedge q$" is false, find the range of real values for $m$.

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