
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 that $m\in R$, the complex number $z=(m-1)+mi$, let proposition $p$ be: the point corresponding to the complex number $z$ in the plane is located in the second quadrant; proposition $q$ be: $|z|\leqslant \sqrt {5}$.
$(1)$ If $\lnot p$ is true, find the range of values for $m$;
$(2)$ If "$p\lor q$" is true, find the range of values for $m$.

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