Answer:
0.1x – y > 1
Explanation:
The boundary line has a small positive slope (rise over run), so the inequality will be 0.1x + ... rather than 10x + ....
The graph is shaded to the right of the boundary line, so for x values greater than those on the line. That means the inequality is ...
0.1x - y > 1 . . . . . . . . the form is ... x is greater than some value
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If you like, you can restructure this inequality to the form ...
y < 0.1x -1 . . . . . . slope-intercept form
so you can better see that the y-intercept is -1 (true for all of the choices) and the slope is 0.1. You can also see in this form that the shading will be for y-values below those on the boundary line.
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Comment on shading direction
I find it easiest to find a variable in the equation that has a positive coefficient and look to see what the comparison operator is in relation to that:
( )x + ... > ... will be shaded to the right of the line
( )x + ... < ... will be shaded to the left of the line
( )y + ... > ... will be shaded above the line
( )y + ... < ... will be shaded below the line
When the inequality here is written in the slope-intercept form shown above, you can see that the shading will be below (y < ...) and to the right (x > ...) of the line. Since the line has positive slope, these descriptions of the shading both describe the same thing.