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

Lesson 13: Introduction to inequalities with variables

# Inequalities word problems

Inequalities are a handy tool for comparing values. For example, if Eric is shorter than Priti who is 158 cm tall, we write E < 158. If Sydney wears skirts when it's warmer than 25 degrees, we say T > 25. If Hayley finishes a race after Lola's 53 seconds, we write H > 53.

## Want to join the conversation?

• can the variable be on either side and if not how does that change it?
• The variable can start out on one or both sides. When you finish solving, the variable will be on one side. It does not matter which side. For example: x>3 is the same as 3<x

Hope this helps.
• How about if you have a problem like this? :

Describe the numbers x and y such that if x>y, then x^2=y^2

I tried to write an equation like this:

x>y=y^2

This is as close as I have gotten so far. If someone could explain the procedures to do this problem, that would be greatly appreciated! Thank you! :)
• x=-y should be the answer. For example, if x is 2 and y is -2, x^2=y^2=4. Hope this helps.
• What are ways to check inequalites
• Can you explain what you mean by "Checking" inequalities? Do you want to compare them?
• I dont know how to do the inequality test it is hard for me I cant do the plotting nor the graphic
• Why is this so hard?
• Because it´s math🫥
• Haleys time would be after 53 since that Haleys time was less than 53 seconds so the inequality would be written
• If you are trying to say that Haley's time should be reflected as: H < 53 (so, less than 53), that is incorrect. Lola finished in 53 seconds. Haley finished after Lola, so her time must be more than 53. Thus the inequality shown in the video is correct: H > 53
• easy i just thought that o was weird