
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 \( M=\left\{(x, y) \mid x^{2}+2 y^{2}=3\right\} \) and \( N=\{(x, y) \mid y=mx+b\} \). Find the range of values for \( b \) such that \( M \cap N \neq \varnothing \).

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