Find the Domain |2v+6|=|2v-4|

Problem

|2*v+6|=|2*v−4|

Solution

1. Identify the type of expression provided. The expression |2*v+6|=|2*v−4| is an equation involving absolute values.

2. Determine the constraints for the domain. The domain of an equation or function consists of all possible input values for which the expression is defined.

3. Analyze the functions involved. Both sides of the equation are absolute value functions of linear polynomials.

4. Evaluate for restrictions. Linear polynomials and absolute value functions are defined for all real numbers. There are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

5. Conclude that since there are no restrictions on the variable v the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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