
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 line $x-2y+3=0$ and the parabola $y^2=mx$ ($m \neq 0$) have no points of intersection; Given proposition $q$: the equation $\frac {x^{2}}{5-2m} + \frac {y^{2}}{m} = 1$ represents a hyperbola; If $p \vee q$ is true, and $p \land q$ is false, find the range of real number $m$.

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