
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
\[ [ \text{Elective 4-5: Special Topics on Inequalities} ] \]

Given the function \(f(x)=|x-a|-1\).

(1) If \(a=2\), solve the inequality \(f(x)+|2x-3| > 0\).

(2) If the inequality \(f(x) > |x-3|\) has solutions with respect to \(x\), find the range of the real number \(a\).

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