Find the Domain 0.5(2n-3)-0.1=0.4(6+2n)

Problem

0.5*(2*n−3)−0.1=0.4*(6+2*n)

Solution

1. Identify the type of equation. This is a linear equation in one variable, n

2. Analyze the expressions on both sides of the equation. Both sides consist of polynomials (specifically, linear functions) and constants.

3. Determine if there are any restrictions. There are no denominators containing the variable, no square roots of negative numbers, and no logarithms.

4. Conclude the domain. Since the variable n can be any real number without making any part of the equation undefined, the domain is the set of all real numbers.

Final Answer

Domain=(−∞,∞)

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