
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 that $a > b$ and $c < 1$, determine the correct inequality from the options below.

A) $(a-b)(c-1) < 0$
B) $(a-b)c < 0$
C) $a(c-1) < 0$
D) $(a-b)(1-c) < 0$

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