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 solutions of the inequalities given don't have any bounded or feasible region, and they do not contain the origin.
Let's understand the solution in detail.
⇒ y < 2x – 5
⇒ y > –3x + 1
Now, we plot them on the graph below.
From the graph above, we can see that the solution to the set of inequalities is the region on the right side of the y axis. That means x is always greater than zero.
Also, it doesn't contain the origin and is unbounded.