Ineed this ! select the system of linear inequalities that represent this system. a.) y≥−3x−3 y≤−1/2x+2 b.)y< −3x−3 y< −1/2x+2 c.)y≥−3x−3 y< −1/2x+2 d.)y≤−3x−3 y< −1/2x+2

Option D and

Step-by-step explanation:

step 1

Find the equation of the inequality A

we know that

The solution of the inequality A (dashed line)  is the shaded area below the dashed line

The equation of the dashed line is

therefore

The equation of the inequality A is

step 2

Find the equation of the inequality B

we know that

The solution of the inequality B (solid line)  is the shaded area below the solid line

The equation of the solid line is

therefore

The equation of the inequality B is

The system of linear inequalities is

and

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the value of x is 28.2