QuestionSolve the equation $-5+\left|\frac{x}{6}\right|=-7$. What is the solution set?

Studdy Solution
An absolute value can never be negative. It represents the distance of a number from zero on the number line, and distance is always positive or zero. Therefore, if the absolute value of a number is equal to a negative number, there are no solutions to the equation.
In this case, $\left|\frac{x}{6}\right| = -2$ has no solution because the absolute value cannot be negative.
Therefore, the solution set of the equation $-+\left|\frac{x}{6}\right|=-7$ is No Solution.