Write the linear inequality shown in the graph. the gray area represents the shaded region.

y < 4x - 2 is the inequality.

Step-by-step explanation:

In this question we will find the equation of the given line first.

This line passes through two points (0.5, 0) and (0, -2).

So the slope of this line will be =

slope =

         =

Y-intercept of the given dotted line is (-2)

Equation of the line will be y = 4x - 2

Now this line is in the dotted form so there is no equality, means it's a pure inequality.

So inequality may be y < 4x - 2 or y > 4x - 2

Now we will check the shaded area is for y < 4x - 2 or y > 4x - 2

Since gray area is on the right side of the inequality so we will take a point (2, 0) to check the inequality drawn on the graph.

0 < 4.(2) - 2

0 < 8 - 2

0 < 6 which is true.

For second inequality y > 4x - 2

0 > 4.(2) - 2

0 > 8 -2

0 > 6 which is not true.

Therefore, inequality representing the shaded area is y < 4x - 2

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: