Write the inequality shown in the graph below:

Answer:
[tex]y\:<\:-2x+7[/tex]
Step-by-step explanation:
First we need to determine the equation of the boundary line.
The line has y-intercept of c=7 and slope [tex]m=-2[/tex].
The slope is given by y=mx+c.
We substitute the slope and intercept to get:
[tex]y=-2x+7[/tex].
Since the lower half plane is shaded, with the boundary being a dashed line, the required inequality is [tex]y\:<\:-2x+7[/tex]