
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
Define an odd function $f(x)$ on $\mathbb{R}$, such that for $\forall x \in \mathbb{R}$, it holds that $f\left( \dfrac {3}{2}+x\right)=f\left( \dfrac {3}{2}-x\right)$, and it satisfies $f(5) > -2$, $f(2)=m- \dfrac {3}{m}$. The range of the real number $m$ is \_\_\_\_\_\_.

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