The mathematics department of a college has 5 male professors, 12 female professors, 13 male teaching assistants, and 15 female teaching assistants. if a person is selected at random from the group, find the probablity that the selected person is a professor or a male. the probability is(type an integer or a fraction. simplify your answer.)

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

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