Answer:
- y > -2x +3 . . . . line A
- y ≤ x . . . . . . . . line B
Explanation:
You want the equations for the inequalities shown on the graph.
Line A
The downward sloping dashed line crosses the y-axis at y=3. It has a "rise" of -2 units for each 1 unit to the right. Its slope is rise/run = -2/1 = -2.
The equation for this boundary line can be written ...
y = -2x +3
The graph is shaded above this line, which is not included in the solution. The inequality graphed is ...
y > -2x +3
Line B
The upward sloping solid line crosses the y-axis at y=0 and has a rise of 1 for each run of 1 unit to the right. Its slope is 1/1 = 1, and its y-intercept is 0.
The equation for the boundary line can be written ...
y = 1x +0
The graph is shaded below the solid boundary line, so the boundary is included in the solution. The inequality graphed is ...
y ≤ x
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