The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

The graph of an **inequality** in **two variables** is the set of points that represents all solutions to the **inequality**. A linear **inequality** divides the coordinate plane into **two** halves by a boundary line where one half represents the solutions of the **inequality**. The boundary line is dashed for > and < and solid for ≤ and ≥.

Also, how do you graph a variable? How can we **graph** independent and dependent **variables**? The independent **variable** should be plotted on the x-axis. The dependent **variable** should be plotted on the y-axis. Note the slope of your **graph** will be riserun which is massvolume which is the density of the material.

Consequently, how do you graph and inequality?

**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 solve inequalities with multiple variables?

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.

### How do you solve linear equations in two variables?

Solving Systems of Equations in Two Variables by the Addition Method Write both equations with x– and y-variables on the left side of the equal sign and constants on the right. Write one equation above the other, lining up corresponding variables. Solve the resulting equation for the remaining variable.

### How do you solve an equation with two variables?

To solve systems of algebraic equations containing two variables, start by moving the variables to different sides of the equation. Then, divide both sides of the equation by one of the variables to solve for that variable. Next, take that number and plug it into the formula to solve for the other variable.

### How do you know where to shade a parabola inequality?

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line. Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary. Example: Graph the quadratic inequality.

### How do you solve 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.

### What are the four inequality symbols?

The 4 Inequalities Symbol Words Example > greater than x+3 > 2 < less than 7x < 28 ≥ greater than or equal to 5 ≥ x−1 ≤ less than or equal to 2y+1 ≤ 7

### Which side of the inequality do you shade?

Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.