## How do you graph a linear inequality on the coordinate plane?

Table of Contents

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≤).

### How do you graph linear inequalities step by step?

- 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 solve linear equations by graphing?**

To solve a system of linear equations by graphing

- Graph the first equation.
- Graph the second equation on the same rectangular coordinate system.
- Determine whether the lines intersect, are parallel, or are the same line.
- Identify the solution to the system.
- Check the solution in both equations.

**What is the first step in graphing a linear inequality in two variables?**

A linear inequality occurs when the equal sign in a linear equation is replaced with an inequality symbol. To graph a linear inequality in two variables, first graph the line as if it were a linear equation. Identify whether the inequality includes the “or equal to” aspect.

## What is the graph of linear inequality called?

The graph of a linear inequality in one variable is a number line. Use an open circle for < and > and a closed circle for ≤ and ≥. The graph for x > -3. The graph for x ≥ 2. Inequalities that have the same solution are called equivalent.

### Which is a correct first step in solving the inequality?

Answer: The first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 – 3x.

**How to find the inequalities from a graph?**

Graph the line. Note that the line is solid because the inequality sign is greater than or equal to.

**How do you graph an inequality?**

How do you solve and graph inequalities step by step? 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.

## What is graph of inequalities?

Graphing an inequality is a useful way to visualize the range or region of values that satisfy the inequality. There are three basic steps for graphing one- and two-variable inequalities:

### How to graph inequalities?

Graph the boundary line for the first inequality.