Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than one half as many minutes as Francesca's commute by car. It takes Riley 36 minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work. 36 = one halfx − 12
36 = 2x − 12
36 = 2x + 12
36 = one halfx + 12

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!