Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

What is the order of magnitude for the number of liters in a large bottle of soda served at a party

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?