The origin (0, 0) is a solution to this system.
Explanation:
Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any system of inequalities, so I'll give you this system:
[tex]\left\{ \begin{array}{c}y\ge x-5\\y\le2x+3\end{array}\right.[/tex]
For the first inequality, the shaded region is above the line [tex]y=x-5[/tex] and every point on the line is included in its solution since equality is included in ≥, so the line is dashed. On the other hand, for the second inequality the shaded region is below the line [tex]y=2x+3[/tex] and every point on this line is not included in the solution since equality is not included in <, so the line is dotted.
Finally, the solution to this system of inequalities is the intersection of both regions as indicated in the graph below.
As you can see, the origin (0, 0) is a solution to this system.
Learn more:
Inequalities: https://brainly.com/question/13177145
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