Question

A system of inequalities is shown.

Answer 1

The system of inequalities which is represented in the graph shown (see attachment) is:

1. y ≥ x² -2x -3
2. y ≤ x +3

What is an inequality?

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 (≥).

What is a graph?

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:

1. y ≥ x² -2x -3
2. y ≤ x +3

Read more on graphs here: brainly.com/question/25875680

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