Which graph represents y is less than or equal to -3x?

The graph shown

Step-by-step explanation:

The line y = -3x is the one shown in the image. To test if this region matches the inequality take a point within the region shown in the image and then substitute it in the inequality, if the inequality is satisfied then the plotted region is correct.

Let's test (-3, 0) the point that clearly lies within the shaded region.

zero is less than nine. Then the inequality is satisfied and the shaded region represents the inequality of

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