The graph of the system of inequalities is shown below
Yes, the system of inequalities has a solution
Explanations:The given system of inequalities is:
[tex]\begin{gathered} y\text{ }\leq\text{ 2x + 1} \\ y\text{ }\leq\text{ 2x - 4} \end{gathered}[/tex]The graph of the system of inequalities is shown below
The one plotted in red represents y ≤ 2x + 1 while the one plotted in purple represents y ≤ 2x - 4
The solution to the system of inequalities is the area where the shadings from y ≤ 2x + 1 and y ≤ 2x - 4 meet
The solution to the system of inequalities is y ≤ 2x - 4 and it is unbounded
