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Lesson 7: Intro 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?
• Why is this so hard?
• Because it´s math🫥
• am i the only one who overthinks everything and constantly thinks that their not good enough?
• No, I'm the same way
• I dont know how to do the inequality test it is hard for me I cant do the plotting nor the graphic
• Haleys time would be after 53 since that Haleys time was less than 53 seconds so the inequality would be written