Find the Domain |5y-8|=12

Problem

|5*y−8|=12

Solution

1. Identify the type of expression provided. The task asks for the domain of the equation |5*y−8|=12

2. Determine the nature of the variable y In the context of a standard algebraic equation involving an absolute value, the variable y can be any real number unless it is restricted by a denominator, a square root of a negative number, or a logarithm.

3. Analyze the expression for restrictions. The expression |5*y−8| is a linear absolute value function, which is defined for all real numbers.

4. Conclude that there are no values of y that make the expression undefined. Therefore, the domain consists of all real numbers.

Final Answer

Domain=(−∞,∞)

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