Question

Which of the following inequalities is graphed on the coordinate plane

Answer 1

Even though you didn't bother to share the list of acceptable choices ...
that short group of inequalities that the question calls "the following" ...
we can give you the answer anyway.

The graph depicts the inequality

y > -2 x + 6 .

Answer 2

Equation of the inequality will be y ≥ -2x + 6

Explanation:

In the figure attached graph of an inequality has been given.

So to find the equation of the inequality we will find the equation of a line first.

The line is passing through two points (0, 6) and (3, 0)

The line given will be in the form of y = mx + c

Here y intercept c = 6

and m =
`(y-y')/(x-x')=(6-0)/(0-3)`

m = (-2)

The equation of the line will be y = (-2)x + 6

y = -2x + 6

As we can see shaded part is above the line and line is in solid form (not dotted) so the equation of the inequality will be y ≥ -2x + 6

Therefore, the given inequality in the graph will be y ≥ -2x + 6.