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### Course: Algebra (all content)>Unit 2

Lesson 14: One-step inequalities

# Solving and graphing linear inequalities

How to graph on a number line and coordinate plane. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• when sal shows that no matter what x is, y is always going to be greater than 5, how can you tell why he knows :?
• Colby,
The equation y>5 is a linear inequality equation.
Let's first talk about the linear equation, y=5
If you wrote the linear equation in the form of y=Ax+B, the equation would be
y=0x + 5.
When x=1, what is y? y=5
And when x = 2, what is y? y=5
So no matter what x is, y=5
So whatever we put in for x, we get x*0 which always = 0. So for whatever x we use, y always equals 5.

The same thing is true for y>5.
It could be rewritten as
y > 0x + 5.
And again, no matter what x we use, y is always greater than 5.

I hope something I said here helps it click for you.
• what happens if you have an equation like " 4x < 32" ? How do you answer it and graph it?
• The y-value will be infinite, so just raw a vertical line crossing the point (4,0) and shade away from zero. This way , ANY y-value can work.
• At what does Sal mean by this?
• He means that Y isn't equal to 5, but is greater than 5. Therefore, you wouldn't include 5.
• y=-5x+3 i dont know how to do stuff like this.
• Math is not my greatest subject at school could someone help me with math please.
• excuse my name but I need help on solving for the x-int