
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
If the solution set of the inequality \\( \dfrac {x-a}{x-b} > 0 (a,b \in \mathbb{R}) \\) is \\( (-\infty,1) \cup (4,+\infty) \\), then \\( a+b= \\) \_\_\_\_\_\_.

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