
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 the ellipse C: $\frac {x^{2}}{4}+ \frac {y^{2}}{b}=1$, and the line l: y=mx+1, if for any $m \in \mathbb{R}$, line l always has common points with ellipse C, determine the range of values for the real number b.

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