
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 $f(x)=|x-1|-|2x+3|$.
(1) Solve the inequality $f(x) > 2$;
(2) Let $R$ be the solution set of the inequality $f(x)\leqslant \frac {3}{2}a^{2}-a$ regarding $x$. Find the range of values for $a$.

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