Celina surveyed 60 students at her schools and found that 0.75 of students she surveyed said their favorite class is math. another 35% of the students she surveyed reported that their favorite class is science. how many students in the survey prefer math over science?

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

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0