Answer:
(c) y < -x +1
Explanation:
You want the inequality that matches the graph.
Boundary line
The boundary line of the shaded area has a negative slope: it falls one unit for each unit to the right, so the slope is ...
m = rise/run = -1/1 = -1
The line crosses the y-axis at y = 1, so the y-intercept is b = 1.
The equation of the boundary line is ...
y = mx + b
y = -x +1
Shading
The boundary line is dashed, so its values are not part of the solution set. The shading is below the line, so only y-values less than those on the line are included.
The inequality is ...
y < -x +1 . . . . . choice C
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