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Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.

y > -28
y > 2 - 4

a. (0, -27)
b. (0, -29)
c. (0, 29)
d. (0, -28)

User LubosD
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1 Answer

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Final answer:

The correct solution to the graphical system of inequalities is the point (0, -27), which lies within the region where y is greater than -2.

Step-by-step explanation:

To solve the system of inequalities graphically, we first need to understand the equations y > -2 and y > 2 - 4. The first inequality describes a region above the horizontal line y = -2, and the second inequality describes a region above the line y = 2 - 4, which simplifies to y > -2 since 2 - 4 = -2. This means that these two inequalities are essentially the same, and their graphical representation would be a shaded area above the line y = -2.

The coordinates given as options (a), (b), (c), and (d) are points on the y-axis (x=0). To find the correct answer, we only need to see which of these points lies above the line y = -2. The point (0, -27) is above y = -2, so it is part of the solution set. The correct answer is option (a): (0, -27).

User Julius Printz
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