Shooters a, b, and c are having a truel. the probability that shooter a hits his target is p a , the probability that b hits his target is p b and p a < p b < 1, and the probability that c hits his target is 1. they take turns, a first, then b, then c, and repeating until only one shooter is left. if a decides to shoot at c on his first turn, what is the probability that a wins? (make reasonable assumptions about the behavior of b and c.)

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

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.

the answer for the second equation is (4,0)

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hope this !