I'm currently confused on telling whether an absolute value equation has a solution or doesn't. for example, -5|x + 1| = 10 has no solution, and if you actually did it, the x would be -3, and 1. meanwhile 2|x − 6| + 14 = 38 has a solution of x = −6, x = 18 and it has a i'm so confused.

You coordinate volunteers for litter cleanup in local parks. your spreadsheet lists drivers and the number of seat belts in each driver’s car. the spreadsheet calculates the number of drivers (d) and the total number of seat belts (s). you want to know the maximum number of volunteers, besides drivers, that can be transported to the park in a single trip given that each person must have a seat belt of their own.