
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 equation $x^{2}+2 \sqrt {2}x+m=0$ has two distinct real roots; $q$: The solution set of the inequality $4x^{2}+4(m-2)x+1 > 0$ is $R$. If "$p \vee q$" is true and "$p \wedge q$" is false, find the range of values for the real number $m$.

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