
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
A certain shopping mall is selling a type of clothing with a cost of $60 per item. During the trial sale period, the selling price must not be lower than the cost price, and the profit must not exceed 50%. It was found during the trial sale that the relationship between the sales volume $y$ (in units) and the selling price $x$ (in dollars) follows a linear function $y = -x + 140$.

(1) Write down the range of values for the selling price $x$.

(2) If the profit from selling this clothing is $W$ dollars, write an expression for the relationship between profit $W$ and the selling price $x. At what selling price can the maximum profit be obtained, and what is the maximum profit?

(3) If the profit is not less than $1200, determine the range of selling prices $x$.

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