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2 Tricks for Remembering Greater Than and Less Than Signs

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9 months ago

March 9, 2023

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What do those little sideways carat symbols mean? They’re inequalities! Inequalities can be difficult to get a handle on, especially because the greater than and less than signs look so similar. But these symbols are very useful, because they help us show the relationship between numbers or equations in a way that doesn’t just say that they’re equal.

In this article, we’ll be talking about what inequalities are, how they’re represented, and how to remember which sign means what.

Contents hide

1 What Are Greater Than and Less Than Signs For?

2 How to Remember Greater Than and Less Than Signs

2.1 Alligator Method

2.2 L Method

2.3 Equal Sign Method

3 Key Tips For Working With Inequalities

3.1 Inequalities are All About Relationships

3.2 Isolate Your Variables

3.3 Negative Numbers Change the Greater Than or Less Than Sign

3.4 Don’t Multiply or Divide by a Variable—Most of the Time

4 What’s Next?

body_crocodile-1 Not knowing what the signs mean may make your math homework feel something like this.

What Are Greater Than and Less Than Signs For?

Inequalities are math problems that don’t resolve with a clear “equals” answer—instead, they compare two things, demonstrating the relationship between them rather than showing that one is equal to another. Hence the name; “inequality” means that two things are not equal.

We’re all familiar with the equal sign, “=” at this point in math. But “>” and “<” are not as common, let alone “≥” and “≤”.

Here’s a chart to cover all the inequality symbols:

Symbol	Meaning
<	Less than—the number on the left is less than the number on the right; 2 < 3
>	Greater than—the number on the left is greater than the number on the right; 3 > 2
≤	Less than or equal to—the number on the left is less than or equal to the number on the right; 2 or 3 ≤ 3
≥	Greater than or equal to—the number on the left is greater than or equal to the number on the right; 2 or 3 ≥ 2
≠	Does not equal—the number on the left does not equal the number on the right; 2 ≠ 3

body_crocodile2

Now we’ll finally get to talk about why all these photos are of crocodiles.

How to Remember Greater Than and Less Than Signs

Though the greater than and less than signs have clear meanings, they can be kind of hard to remember. All of them look similar, with the exception of the “does not equal” sign. So how can you remember them?

Alligator Method

One of the best ways to memorize the greater than and less than signs is to imagine them as little alligators (or crocodiles), with the numbers on either side representing a number of fish. The alligator always wants to eat the larger number of fish, so whatever number the mouth is open toward is the larger number.

body_alligator

The alligator’s mouth is open toward the 4, so even if we weren’t sure that 4 is a bigger number than 3, the > sign would tell us. All inequality signs give us the relationship between the first number and the second, beginning with the first number, so 4 > 3 translates to “4 is greater than 3.”

body_alligator2

This also works the other way around. If you see 5 < 8, imagine the < sign as a little alligator mouth about to chomp down on some fish.

The mouth is pointed at the 8, which means that 8 is more than 5. The sign always tells us the relationship between the first number and the second, so 5 < 8 can be translated to “5 is less than 8.”

When you’re working with inequalities, you can even draw little eyes on the symbols to help you remember which means which. These can be tricky to remember, so don’t be afraid to get a little creative until you really have them memorized!

Rotate your less than sign a little bit and you get an L for “less than!”

L Method

This method is pretty simple—”less than” starts with a letter L, so the symbol that looks most like an L is the one that means “less than.”

< looks more like an L than >, so < means “less than.” Because > doesn’t look like an L, it can’t be “less than.”

Equal Sign Method

Once you’ve mastered the Alligator or L method, the other symbols are easy! “Greater than or equal to” and “less than or equal to” are just the applicable symbol with half an equal sign under it. For example, 4 or 3 ≥ 1 shows us a greater sign over half an equal sign, meaning that 4 or 3 are greater than or equal to 1.

It works the other way, too. 1 ≤ 2 or 3 shows us a less than sign over half of an equal sign, so we know it means that 1 is less than or equal to 2 or 3.

The “does not equal” sign is even easier! It’s just an equal sign crossed out. If you see an equal sign crossed out, it means that the equal sign doesn’t apply—thus, 2 ≠ 3 means that 2 does not equal 3.

body_crocodile3

Keep these things in mind and you’ll look this happy about working with inequalities.

Key Tips For Working With Inequalities

Inequalities are tricky—we’re used to having a clear and concrete answer for math problems, but inequalities don’t always give us that. When you’re working with inequalities, keep these things in mind to help ease you through the process.

Inequalities are All About Relationships

Keep in mind as you’re working on inequalities that they’re typically asking you to solve for a relationship or to identify which symbol is appropriate rather than asking you to solve for a single number. You don’t need to end up with two numbers on either side of an equal sign to be right—the answer just needs to be true.

Isolate Your Variables

When you’re working with inequalities with variables, it’s important to remember that, in general, you’ll be trying to isolate the variable to one side or the other. Focus on condensing numbers and canceling things out when you can, always with the goal of getting the variable alone on either side of the equation.

Negative Numbers Change the Greater Than or Less Than Sign

Don’t forget that performing certain actions will flip the sign. When you multiply or divide by a negative number, you need to flip the “greater than” or “less than” sign along with it.

Don’t Multiply or Divide by a Variable—Most of the Time

Unless you know for certain that a variable will always be positive or always be negative, don’t multiply or divide an inequality by a variable.

What’s Next?

Inequalities aren’t the only tricky part of math—rational numbers can also be confusing! This guide will help walk you through what a rational number is and what they look like.

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Unveiling the Essence of Tangiers Tobacco

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5 days ago

November 25, 2023

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For those who love hookahs, Tangiers Tobacco is more than just a brand to smoke—it’s an adventure into the world of tastes. We shall go into great detail on the history, types, and customs of Tangiers tobacco in this post.

What makes Tangiers Tobacco Unique?

Tangiers Tobacco is a well blended product that enhances the hookah experience rather than just being tobacco. Although its origins are ancient, what makes it special is the careful farming, harvesting, and processing that results in a flavor profile that is unmatched.

The Origins of Tangiers Tobacco

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Take a historical tour to discover the origins of Tangiers Tobacco. Learn how this flavor has changed and endured over time, from traditional uses to current farming.

Tangiers Tobacco Varieties

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Tangiers Tobacco and Health

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Also Visit: Hookah Coals Near Me: Unveiling the Ultimate Smoking Experience

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Hookah Coals Near Me: Unveiling the Ultimate Smoking Experience

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6 days ago

November 25, 2023

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The search for the ideal hookah coals begins here, in the world of extraordinary hookah experiences. To enjoy a rich and enjoyable smoke, it’s important to choose the best hookah coals nearby, regardless of experience level. We’ll take you on a journey to discover the subtleties of hookah coals in this guide, leading you to the greatest solutions out there.

Exploring the Variety

Understanding the Types of Hookah Coals

Explore the vast realm of hookah coals to start your hookah journey. We weigh the benefits and drawbacks of each alternative, from instant lighting to natural coconut coals, so you can make an informed decision.

The Advantages of Coconut Hookah Coals

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Find out why many aficionados now favor coconut hookah coals over other options. We discuss their long-lasting burn, eco-friendliness, and overall hookah experience enhancement.

Quick-Lighting Coals: A Convenient Option

Coal may be a quick-lighting option for convenience-seekers. We go over how quickly they ignite and point out circumstances in which they might work best for your hookah sessions.

Navigating the Market

Local Smoke Shops: Your Go-To for Immediate Needs

Look into the convenience of nearby smoking establishments to locate hookah coals. We offer guidance on what to consider and how to guarantee the quality of the coals you are buying.

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Hookah Coals Near Me: Ensuring Quality

Key Factors in Choosing Hookah Coals

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Conclusion

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