
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 $m\in R$, let $p$ be the proposition that the point corresponding to the complex number $z\_1=(m-1)+(m+3)i$ (where $i$ is the imaginary unit) lies in the second quadrant of the complex plane, and let $q$ be the proposition that the modulus of the complex number $z\_2=1+(m-2)i$ does not exceed $\sqrt {10}$.

1. When $p$ is true, find the range of values for $m$.
2. If the proposition “$p$ and $q$” is false, while “$p$ or $q$” is true, find the range of values for $m$.

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