How do you graph inequalities on a coordinate plane?

How to Graph a Linear Inequality

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

What are the 4 steps to graphing an inequality?

Step 1: Solve the inequality for y.
Step 2: Graph the boundary line for the inequality.
Step 3: Shade the region that satisfies the inequality.
Step 4: Solve the second inequality for y.
Step 5: Graph the boundary line for the second inequality.
Step 6: Shade the region that satisfies the second inequality.

How do you graph an inequality step by step?

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 X Y − XY- XY−plane.
Step 4: The last step is to shade one side or region of the boundary line.

Can you graph inequalities?

When you are graphing inequalities, you will graph the ordinary linear functions just like we done before. The difference is that the solution to the inequality is not the drawn line but the area of the coordinate plane that satisfies the inequality.

What is the first step in graphing the solution of an inequality?

Steps to Graphing Inequalities: Use a dashed line for < or >. Use a solid line for < or >. Step 2 Test a point that is not on the line to check whether it is a solution of the inequality. Step 3 If the test point is a solution, shade its region.

What is the first step in graphing the solution set of an inequality?

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. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary.

How do you graph two inequalities?

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 equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

What is an example of a linear inequality?

What Is an Example of Linear Inequality? An example of linear inequality is x – 5 > 3x – 10. Here, the LHS is strictly greater than the RHS since greater than symbol is used in this inequality. After solving, the inequality looks like this: 2x > 5 ⇒ x > (5/2).