Sign Sighn Do This Don't Do That Can't You Read the Sign
Inequalities are math problems that don't resolve with a clear "equals" answer—instead, they compare 2 things, demonstrating the relationship between them rather than showing that 1 is equal to some other. Hence the name; "inequality" means that two things are non equal. We're all familiar with the equal sign, "=" at this signal in math. But ">" and "<" are not equally common, let alone "≥" and "≤". Here's a nautical 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; three > 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 ≤ iii ≥ Greater than or equal to—the number on the left is greater than or equal to the number on the right; two or 3 ≥ 2 ≠ Does not equal—the number on the left does not equal the number on the right; 2 ≠ 3 Though the greater than and less than signs have clear meanings, they can be kind of hard to remember. All of them expect similar, with the exception of the "does not equal" sign. So how can you think them? One of the best ways to memorize the greater than and less than signs is to imagine them every bit little alligators (or crocodiles), with the numbers on either side representing a number of fish. The alligator ever wants to eat the larger number of fish, and so whatsoever number the mouth is open up toward is the larger number. The alligator'southward oral cavity is open toward the 4, and so fifty-fifty if nosotros 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, kickoff with the outset number, so 4 > iii translates to "iv is greater than three." This also works the other way around. If you come across v < 8, imagine the < sign as a little alligator mouth virtually to chomp down on some fish. The mouth is pointed at the eight, which means that 8 is more than v. The sign e'er tells united states the relationship between the first number and the second, so 5 < 8 can be translated to "v is less than 8." When y'all're working with inequalities, y'all can even draw little eyes on the symbols to assistance you remember which means which. These can be tricky to recall, and so don't be afraid to get a little artistic until yous actually have them memorized! This method is pretty simple—"less than" starts with a letter L, and so the symbol that looks most like an L is the ane that means "less than." < looks more similar an L than >, and so < means "less than." Considering > doesn't look like an L, it can't exist "less than." In one case you've mastered the Alligator or Fifty method, the other symbols are easy! "Greater than or equal to" and "less than or equal to" are simply the applicable symbol with half an equal sign under it. For case, 4 or 3 ≥ i shows united states of america a greater sign over half an equal sign, significant that iv or 3 are greater than or equal to 1. It works the other way, too. one ≤ 2 or iii shows united states 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 iii. The "does non equal" sign is even easier! Information technology's just an equal sign crossed out. If yous see an equal sign crossed out, it means that the equal sign doesn't apply—thus, two ≠ 3 means that ii does not equal 3. Keep these things in mind and you'll await this happy virtually working with inequalities. Inequalities are catchy—we're used to having a clear and concrete answer for math problems, but inequalities don't always requite us that. When you lot're working with inequalities, keep these things in heed to help ease you through the process. Keep in heed as y'all're working on inequalities that they're typically request you to solve for a human relationship or to identify which symbol is appropriate rather than asking you lot to solve for a single number. You don't need to terminate up with two numbers on either side of an equal sign to be right—the answer just needs to exist truthful. 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, ever with the goal of getting the variable alone on either side of the equation. Don't forget that performing certain actions will flip the sign. When you multiply or divide past a negative number, you need to flip the "greater than" or "less than" sign along with it. Unless you know for sure that a variable will e'er be positive or e'er exist negative, don't multiply or divide an inequality past a variable. Inequalities aren't the merely catchy part of math—rational numbers can likewise be confusing! This guide will assist walk y'all through what a rational number is and what they look like. Ever wondered how many zeroes are in big numbers? How many zeroes are there in a billion? How well-nigh a trillion? Demand to get some practice in? These 5th-grade math games can help you hone your skills! 
What exercise those little sideways carat symbols mean? They're inequalities! Inequalities tin exist difficult to get a handle on, especially because the greater than and less than signs look and then similar. But these symbols are very useful, considering they assistance us show the relationship between numbers or equations in a manner that doesn't just say that they're equal.
Not knowing what the signs mean may brand your math homework experience something like this. What Are Greater Than and Less Than Signs For?
Now we'll finally go to talk about why all these photos are of crocodiles. How to Remember Greater Than and Less Than Signs
Alligator Method
Rotate your less than sign a little bit and you get an Fifty for "less than!" Fifty Method
Equal Sign Method
Cardinal Tips For Working With Inequalities
Inequalities are All Almost Relationships
Isolate Your Variables
Negative Numbers Change the Greater Than or Less Than Sign
Don't Multiply or Divide by a Variable—Most of the Time
What'south Next?
Melissa Brinks graduated from the University of Washington in 2014 with a Bachelor's in English with a creative writing emphasis. She has spent several years tutoring K-12 students in many subjects, including in Sat prep, to help them ready for their college education.
Source: https://blog.prepscholar.com/greater-than-sign-less-than-sign
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