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The system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph which models the system of inequalities shown, we can infer and logically deduce the following points:
- Both boundary lines on the cartesian coordinate are solid. Thus, the inequalities will both have the "equal to" sign.
- The shading occurred above the quadratic boundary line. Thus, the inequalities below the linear boundary line is given by y ≥ x² + and y ≤ x +
In conclusion, we can infer and logically deduce that the system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
Read more on graphs here: brainly.com/question/25875680
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