Find the Domain -2/5*(x-500)=-1/2x+1/10*(x+2000)

Problem

−2/5*(x−500)=−1/2*x+1/10*(x+2000)

Solution

1. Identify the type of equation provided. This is a linear equation where the variable x appears only in the numerators of terms or as a linear factor.

2. Examine the denominators for any variables. In this equation, all denominators are constants (5 2 and 10.

3. Determine if there are any restrictions. Since there are no variables in denominators, no square roots of negative values, and no logarithms of non-positive numbers, the expression is defined for all real numbers.

4. Conclude the domain. The domain of any linear equation or polynomial is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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