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Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be or
.
Since the shaded region A is above the line, the symbol is
Observe that its y-intercept is:
The line of g(x) is solid. This means that the symbol of the inequality must be or
.
Since the shaded region B is below the line, the symbol is .
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities: