
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 function $f(x)= \begin{cases} \dfrac {1}{1-x}, & x < 0\\ ( \dfrac {1}{3})^{x}, & x\geqslant 0. \end{cases}$, then $f(1)+f(-1)=$ \_\_\_\_\_\_ ; the solution set of the inequality $f(x)\geqslant \dfrac {1}{3}$ is \_\_\_\_\_\_ .

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