
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
Two stores, Store A and Store B, sell the same item at the same price. Each store offers a different discount scheme: at Store A, if the total purchase exceeds $100, the amount exceeding $100 is charged at 90%; at Store B, if the total purchase exceeds $50, the amount exceeding $50 is charged at 95%. If a customer accumulates a total purchase of $x, discuss which store the customer would spend less at based on the value of $x.

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