The following graph shows the solution to the system of linear inequalities.
What is an inequality?
"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
What is graph of an equation?
"It is a set of points on the coordinate plane which satisfy given equation."
What is system of linear inequalities?
"It is a set of linear inequalities for which we find a common solution."
For given question,
We have been given two inequalities.
y ≤ 2x - 5
y > -3x + 1
We need to find the solution to the system of linear inequalities.
The graph of the inequality y ≤ 2x - 5 is the set of all points below the line y = 2x - 5
In the following graph it is denoted by blue shaded region.
The graph of the inequality y > -3x + 1 is the set of all points above the line y = -3x + 1.
The graph contain dotted line as the line y = -3x + 1 is not the y > -3x + 1
In the following graph it is denoted by red shaded region.
The solution to the system of linear inequalities is the set of all common points denoted by the purple region in the graph.
The following graph shows the solution to the system of linear inequalities.
Learn more about system of inequalities here:
https://brainly.com/question/11232672
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