Answer:
Option 2.
Step-by-step explanation:
Let as consider x be the air conditioning unit's actual capacity and y is the maximum variance in British thermal units (Btu).
It is given that an air conditioning unit promises to have a cooling capacity of 6,000 British thermal units (Btu).
We need to find the graph that could be used to determine the variance levels that would cause a unit to be rejected because of its cooling capacity.
It means the maximum variance is less than or equal to absolute difference of actual capacity and 6,000.
[tex]y\leq |x-6000|[/tex]
The related equation of this inequality is
[tex]y=|x-6000|[/tex]
It is a V-shaped curve with vertex (6000,0) and y-intercept (0,6000).
The related curve is a solid V-shaped curve because the points on curve included in the solution set.
The shaded region lie below the curve because the sign of inequality is ≤.
Therefore the correct option is 2.
