You and your friends ari, ben, and carla all live on the same

street that some tennis courts are on. ari and carla live the

same distance from the tennis courts. ben lives farthest from

the courts. you live the same distance from ben’s house and

the tennis courts.

place points a for ari’s house, b for ben’s house, c for carla’s

house, and t for the tennis courts on a number line. let your

house x be at 0. describe each person’s location and use

absolute value to find the distance that each person has to

walk to and back home from the tennis courts.

no one knows lol

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is