An inequation system is a set of two or more inequalities that need to be solved together. Just like equations, inequalities are math problems that involve comparing two things using symbols like < , > , ≤ or ≥.
To solve an inequation system, you need to find values that make all of the inequalities in the system true at the same time. This means that the solution to an inequation system is not just a single number, but rather a range of numbers that satisfy all of the inequalities in the system.
Here's an example of an inequation system:
2x + y > 10 x - 3y < 6
To solve this system, you need to find values of x and y that make both of these inequalities true at the same time. One way to solve an inequation system like this is to use the method of graphing.
To use this method, you'll need to graph each of the inequalities on the same coordinate plane. The solution to the system will be the region of the plane that is shaded by both inequalities.
In this example, you would graph each inequality as a line and shade the area above the line for the first inequality and below the line for the second inequality. The solution to the system is the area where the two shaded regions overlap.