Which graph shows the solution to the system of linear inequalities: y < 2x – 5, y > –3x + 1?
Inequalities are very important concepts in mathematics. They are used to represent feasible regions on the graph for specific parameters and calculate their range of values.
Answer: The solution of the inequalities given doesn't have any bounded region and it does not contain the origin.
Let's understand the solution in detail.
⇒ y < 2x – 5
⇒ y > –3x + 1
Now, we plot the above inequalities on the graph below.
From the graph above, we can see that the solution of the set of given inequalities is the purple region on the right side of the y axis. This implies x is always greater than zero.
From the graph, we can see that the solution of the inequalities does not contain the origin.