
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 proposition $p$: The graph of the equation $\dfrac {x^{2}}{4-m}+ \dfrac {y^{2}}{m}=1$ is an ellipse with its $x$-focal point on the axis.  
Proposition $q$: "For all $x$ in $\mathbb{R}$, $x^{2}+2mx+1 > 0$.”  
Proposition $s$: There exists an $x$ in $\mathbb{R}$ such that $mx^{2}+2mx+2=0$.  
(1) If proposition $s$ is true, determine the range of values for $m$.  
(2) If $p \lor q$ is true and $\neg q$ is true, determine the range of values for $m$.

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