The system of inequalities that matches with the graph is option (D) y < x and y > 2 is the correct answer.
What is an inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. A system of inequalities is a set of two or more inequalities in one or more variables.
For the given situation,
The graph shows the inequality relation between x and y variable.
The correct system of inequality can be found by plotting all the options in the graph.
The graph below shows the the system of inequalities as shown for the expression,
[tex]y < x, y > 2[/tex]
Hence we can conclude that the system of inequalities that matches with the graph is option (D) y < x and y > 2 is the correct answer.
Learn more about inequalities here
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