
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 $a$ is a real number, let proposition $p$: point $M(1,1)$ is inside the circle $(x+a)^{2}+(y-a)^{2}=4$; proposition $q$: $\forall x \in \mathbb{R}$, $x^{2}+ax+1 \geqslant 0$. If the proposition "$p \land q$" is false, and "$p \lor q$" is true, find the range of values for $a$.

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