
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 non-collinear vectors $\overrightarrow {a}$ and $\overrightarrow {b}$, and $t$ as a real number:

(Ⅰ) If $\overrightarrow {OA} = \overrightarrow {a}$, $\overrightarrow {OB} = t \overrightarrow {b}$, $\overrightarrow {OC} = \frac {1}{3}(\overrightarrow {a} + \overrightarrow {b})$, for what value of $t$ are points A, B, and C collinear;

(Ⅱ) If $|\overrightarrow {a}| = |\overrightarrow {b}| = 1$ and the angle between $\overrightarrow {a}$ and $\overrightarrow {b}$ is 120°, and the real number $x \in [-1, \frac {1}{2}]$, determine the range of values for $|\overrightarrow {a} - x \overrightarrow {b}|$.

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