Question

The graph shown below is the solution set to which system of inequalities?

x ¡Ü 1, y ¡Ü 2x + 1, and y greater than or equal to -x - 2
x greater than or equal to 1, y less than or equal to 2x + 1, and y greater than or equal to -x - 2
x less than or equal to 1, y greater than or equal to 2x + 1, and y less than or equal to -x - 2
x greater than or equal to 1, y less than or equal to 2x + 1, and y less than or equal to -x - 2

Answer 1

Draw each equation and then determine if y in the shaded region is above or below these lines. You should come up with 3 equations, to with y= something with x and x = some constant. Here's a hint:

One you've identified the 3 equations, look inside the region and compare the y-values there to the values of y given by the two equations that have y. Then compare any x value in the shaded region to the equation that has x= 1. This will get the you inequalities you need.
Good luck