
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 the graphs of functions $f(x)$ and $g(x)$ are symmetrical about the origin, and $f(x)=x^{2}+2x$.
(I) Find the analytical expression of function $g(x)$;
(II) Solve the inequality $g(x) \geqslant f(x)-|x-1|$;
(III) If $h(x)=g(x)-λf(x)+1$ is an increasing function on $[-1,1]$, find the range of values for the real number $λ$.

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