![graph the inequality in the coordinate plane graph the inequality in the coordinate plane](https://images.squarespace-cdn.com/content/v1/54905286e4b050812345644c/fd33f40a-5f1a-4996-a9e1-a27ecdf29359/Banner-Image.jpg)
The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥. When inequalities are graphed on a coordinate plane, the solutions are located in a region of the coordinate plane which is represented as a shaded area on the plane.
![graph the inequality in the coordinate plane graph the inequality in the coordinate plane](https://e-eduanswers.com/tpl/images/1737/0615/cd75d.jpg)
The line is solid because ≤ means “less than or equal to,” so all ordered pairs along the line are included in the solution set.Ī quick note about the problem above: notice that you can use the points (0,−3) and (2,1) to graph the boundary line, but these points are not included in the region of solutions since the region does not include the boundary line!īelow is a video about how to graph inequalities with two variables when the equation is in what is known as slope-intercept form. Plot the points (0,1) and (4,0), and draw a line through these two points for the boundary line. You can use the x and y-intercepts for this equation by substituting 0 in for x first and finding the value of y then substitute 0 in for y and find x. To graph the boundary line, find at least two values that lie on the line x+4y=4. If points on the boundary line are not solutions, then use a dotted line for the boundary line.This will happen for ≤ or ≥ inequalities.
![graph the inequality in the coordinate plane graph the inequality in the coordinate plane](https://i.ytimg.com/vi/9xlaRFC9bOs/maxresdefault.jpg)
If points on the boundary line are solutions, then use a solid line for drawing the boundary line.Shade the region that contains the ordered pairs that make the inequality a true statement. Identify at least one ordered pair on either side of the boundary line and substitute those (x,y) values into the inequality.Replace the, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line. So how do you get from the algebraic form of an inequality, like y>3x+1, to a graph of that inequality? Plotting inequalities is fairly straightforward if you follow a couple steps. Identify and follow steps for graphing a linear inequality with two variables.