To find the value of the television set after \( x \) years, we need to take the initial value of the television set and subtract the total depreciation over the years.
The initial value of the television set is $1,750, and it decreases by $250 each year. Therefore, after \( x \) years, the depreciation would amount to \( 250x \).
The equation for the value \( V \) of the television set after \( x \) years can be written as:
\[ V(x) = 1750 - 250x \]
where \( V(x) \) is the value of the television set after \( x \) years.