Find the Domain |14y-7|=-18

Problem

|14*y−7|=−18

Solution

1. Identify the type of equation. This is an absolute value equation of the form |ƒ(y)|=c

2. Analyze the properties of absolute value. By definition, the absolute value of any real expression represents a distance and must be non-negative (|a|≥0.

3. Compare the expression to the given constant. The equation states that the absolute value is equal to −18 which is a negative number.

4. Determine the existence of solutions. Since an absolute value can never be negative, there are no values of y that satisfy this equation.

5. Conclude the domain. In the context of solving an equation, the set of values for y that make the statement true is the empty set. If "Find the Domain" refers to the set of possible input values for which the expression is defined, the expression |14*y−7| is defined for all real numbers. However, as an equation with no solution, the solution set is empty.

Final Answer

No solution

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