Question

28. graph the inequality and tell if it have solution or not y =< 2x + 1 y=< 2x - 4

Answer 1

Answer:

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:

`\begin{gathered} y\text{ }\leq\text{ 2x + 1} \\ y\text{ }\leq\text{ 2x - 4} \end{gathered}`

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