The answer is no solutions because absolute value can never be a negative integer. Absolute value is the distance from 0, where both a positive and a negative value are equidistant from 0. For example: |x|=5, where x=5 or x=-5; this is because distance is a positive measurement and will never be negative, so -5 is 5 units from 0 and 5 is 5 units from 0. This is a problem in the given absolute value inequality because we have the left side of the inequality in absolute value bars as greater than or equal to the right side of -5. -5 is not a distance since -5 is 5 units from 0. This means that any value on the left side of the equation will always be positive while the right side has a negative value, thus there are no solutions to satisfy the absolute value inequality.