
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 \\(a > 0\\), \\(b > 0\\), \\(c > 0\\), the function \\(f(x) = |x + a| + |x - b| + c\\).
\\((1)\\) When \\(a = b = c = 1\\), find the solution set of the inequality \\(f(x) > 5\\);
\\((2)\\) If the minimum value of \\(f(x)\\) is \\(5\\), find the value of \\(a + b + c\\), and find the minimum value of \\( \\dfrac {1}{a} + \\dfrac {1}{b} + \\dfrac {1}{c}\\).

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