If you're dealing with an inequality and you multiply or divide both sides of an equation by a negative number, you have to swap the inequality.

How to solve inequalities with 2 variables. Solving and graphing linear inequalities in two variables. Because of the strict inequalities, we will use a dashed line for each. We will use open and closed circles and arrows pointing to the left or right to graph our answers.

So in this case, the less than becomes. X + y ≥ 5; Solve the following system of linear inequalities in two variables graphically.

Below is shown (in red). Graphing linear inequalities in 2 variables. Solve inequalities with two variables 1) graph the corresponding equation x = 2;

Graph each inequality on the same coordinate plane, using a different color for each. Isolate the variable, y, in each inequality. {− 3x + 2y > 6 6x − 4y > 8 ⇒ {y > 3 2x + 3 y < 3 2x − 2.

The inequalities define the conditions that are to be considered simultaneously. Graph the boundary first and then test a point to determine which region contains the solutions. Because we are multiplying by a positive number, the inequalities don't change:

−6 < 6−2x < 12. Graphing the solution, determining if a line should be solid or dashed,. We begin by solving both inequalities for y.