
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
The equation of ellipse C is given. If a line passing through point M $(x, 0)$ intersects ellipse C at two points, A and B, and there exists a point P on the ellipse such that $$\overrightarrow {OA} + \overrightarrow {OB} = t \overrightarrow {OP}$$ (O is the origin), when $$|\overrightarrow {PA} - \overrightarrow {PB}| < \frac {2 \sqrt {5}}{3}$$, find the range of values for $t$.

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