
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 sets $A=\{x|-x^{2}+2mx+4-m^{2}\geqslant 0,m\in R\}$ and $B=\{x|2x^{2}-5x-7 \lt 0\}$.<br/>$(1)$ If $A\cap B=\{x|0\leqslant x \lt \frac{7}{2}\}$, find the range of real number $m$;<br/>$(2)$ If $B\subseteq \complement _{R}A$, find the range of real number $m$.

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