
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 $f(x)=|2x-a|+|x-1|-5$ where $a\neq 0$.

(1) If one of the zero points of the function $f(x)$ is $2$, solve the inequality $f(x)\leqslant 10$.

(2) When $a < 0$, the graph of the function $f(x)$ forms a triangle with the $x$-axis. Find the range of $a$.

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