Final answer:
After evaluating the ordered pairs against the conditions set by the two lines with negative slopes, the correct ordered pair in the solution set of the system of linear inequalities is A) (–5, 2).
Step-by-step explanation:
To determine which ordered pair is in the solution set of the system of linear inequalities, we need to verify each ordered pair against the conditions specified by the lines on the coordinate plane.
The first solid line has a negative slope and goes through (-2, 3) and (0, -1). To test an ordered pair, say (x, y), we need to determine if y is less than or equal to the y-value on this line at the given x since the area to the left (meaning for x-values less than the line's x at any y) is shaded.
Similarly, for the second dashed line with a negative slope going through (0, 2) and (1, 0), we test if y is greater than or equal to the y-value on this line at the given x since the area to the right is shaded (meaning for x-values greater than the line's x at any y).
Option A: (-5, 2) likely satisfies both conditions, as it is to the left of the first line and to the right of the second line given their negative slopes.
Option B: (2, 2) does not satisfy the condition for the second line, as it would be to the left of this line, which is not shaded.
Option C: (5, 2) does not satisfy the condition for the first line, as it is to the right of this line, which is not shaded.
Therefore, the correct answer is A) (–5, 2).