Solve and graph an absolute value inequality with no solution

The video tutorial explains how to solve and graph linear and absolute value inequalities. It begins by isolating the absolute value in the equation and setting up two scenarios to solve it. The instructor emphasizes the importance of understanding that absolute values represent distance from zero, which cannot be negative. Therefore, if an absolute value inequality results in a negative number, it has no solution. The tutorial concludes by reinforcing that any isolated absolute value inequality with a negative result is unsolvable.

Describe the relationship between absolute value and distance from zero.

What conclusion can be drawn when isolating an absolute value results in a negative number?