STUDENT
TEACHER

Graphing Linear Inequalities Calculator

STUDENT
TEACHER

Graphing Linear Inequalities Calculator

Graphing Linear Inequalities

CALCULATOR

Graphing Linear Inequalities Calculator

We have some questions for you! Help us out through this
INTRO
Graphing a linear inequality can be broken down into two major parts:
1. graphing a line
2. and shading the area that agrees with the linear inequality.
If we imagine that the graph has a safety zone and a danger zone, the line represents the boundary between the two zones, and the shaded area represents the safety zone (where we want to be).
Line:
Select the safe Brains. If none are safe, just press Check!

Depending on the type of inequality, the boundary/line can be a part of either the safety or danger zone.

If we have , then the boundary is safe, and we use a solid line.
The inequality symbol also tells us which side of the line we need to shade in. When , everything greater than the line is safe, and we shade the area above.
KEY STEPS

How to Graph Linear Inequalities

Step 1. Isolate the .

Remember, if we divide by a negative number, we need to flip the inequality symbol.

Step 2. Find one point on the line.

We can treat the inequality like an equation to find points on the line.
We find it easiest to start by finding the y-intercept (where
).

Step 3. Find another point on the line.

We can use the slope or plug in another
-value
to move to another point.

Step 4. Connect the two points using the right type of line.

The line is like the boundary between the safety zone and the danger zone.
• If the boundary itself is safe (
or
), we use a
solid line
.
• If the boundary itself is not safe (
or
), we use a
dotted line
.

Step 5. Shade the correct area.

• If or , then everything greater than the line is safe, and we shade above.
• If or , then everything less than the line is safe, and we shade below.
LESSON
Graphing Linear Inequalities
PRACTICE
Graphing Linear Inequalities
CONCLUSION
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