# How do you graph a linear inequality YX?

## How do you graph a linear inequality YX?

How to Graph a Linear Inequality

1. Rearrange the equation so “y” is on the left and everything else on the right.
2. Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3. Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

How do you shade an inequality graph?

Shade the appropriate region. Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

How do you graph yx and shade?

so we graph y=x like normal but use a dashed line because it is y>x not y≥x then we shade in all values greater then the line y=x or in other words all values above the line.

### How did you graph linear inequality in two variables?

Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane. To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality.

What are the steps to graphing inequalities?

Steps on Graphing Linear Inequalities Step 1: Always start by isolating the variable y on the left side of the inequality. Step 2: Change the inequality to equality symbol. Step 3: Graph the boundary line from step 2 in the XY-plane. Step 4: The last step is to shade one side or region of the boundary line.

What is the definition of a graph of an inequality?

Graph of an Equation or Inequality. The picture obtained by plotting all the points of an equation or inequality. If there is only one variable, the graph is on a number line. If there are two variables, the graph is on the coordinate plane.

#### How many solutions are there to a linear inequality?

There can be three solution sets of linear equalities. They can have one solution, or they can have no solutions or they can have infinitely many solutions. System of linear inequalities that have many or infinite solutions are called ” dependent”.

How do you graph linear inequalities in two variables?

Graphing Linear Inequalities in Two Variables. To graph a linear inequality in two variables (say, x and y), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equals sign. The graph of this equation is a line.