Which system of inequalities is represented by the graph?

a. y< or equal to 3x
y> -2x-1

b. y> 3x
y < or equal to -2x -1

c. y< -3x
y > or equal to 2x -1

d. y > - 3x
y < or equal to 2x -1

Option A. ,

Step-by-step explanation:

we know that

Inequality of the solid blue line

The solution is the shaded area below the solid blue line

The slope of the blue line is positive

The equation of the solid blue line is

so

The equation of the inequality is equal to

Inequality of the dashed red line

The solution is the shaded area above the dashed red line

The slope of the dashed red line is negative

The equation of the dashed line is

so

The equation of the inequality is equal to

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.