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## Get ready for Algebra 1

### Unit 1: Lesson 5

Intro to inequalities with variables

# Plotting inequalities

To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in. Finally, draw a line going from the circle in the direction of the numbers that make the inequality true. Created by Sal Khan.

## Want to join the conversation?

• At can we also use <= instead of ≤ ? Will that be correct?
• If you are writing the symbol by hand, then you should use "≤". When typing on a keyboard, it is common to use "<=" as it requires no special characters other than what is already on the keyboard.
In KhanAcademy exercises, they provide a menu of special symbols so that you can use "≤".
• Hi,
Small question, I just want to know how can I get the most out of these lectures on Khan academy. Any tip or tricks welcome here ;).
Thanks
• Pause the video and have a go at the question. This will make you think and help better understand the problem. Also, you can identify any mistakes you might have made and correct them.

Do all the exercises, try to get 100%. It's okay even if you don't, the goal here is to practice and learn.

Take notes, jot down anything you feel is helpful. (I like to summarize each topic to one page so I can quickly go through everything.)

Don't give up if you don't understand something. Take a short break, maybe listen to some music. Come back and try again.
If you are stuck, you can also ask for help in the comments section.

Good luck!
• When graphing less than or less than and equal to 1500 calories/day, you shade the number line in so that it goes below zero into the negative. How can you consume a negative number of calories in a day?
• Of course, to consume negative calories you would not be gaining any calories, but losing them. Meaning you would be working out and burning them.
To answer your first question, he shaded the arrow at zero which shows it can be any negative number beyond zero as well. So we displayed that on the number line.
• I have a challenge for all Khan academy learners;

Mr. Monroe keeps a bag of small prizes to distribute to his students. He likes to keep at least twice as many prizes in the bag as he has students. The bag currently has 79 prices in it. Mr. Monroe has 117 students. How many more prizes does he need to buy.

Write the answer as a comment in an Inequality equation

For example 5000<=83x+850
• Prizes = p

Needs: 117*2p prizes.
Has: 79 prizes.
Will buy: 234p - 79p = 155 prizes.
He likes to keep atleast double the amount of prizes as students. Thus, our equation is:
`p≥155`

(Did I do it right? 🤔)
• What does the sign ≤ mean? I've always wondered that... I don't think it says anything about that.
• If you took the symbol and made it into the inequality A ≤ B, in this case it would mean that A is smaller or equal to B.
• Is there a harder way to do this.
• Yes you just have to think hard and work hard on it when you are trying to do your best.
• ≥o≤ It makes 99.9% sense