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Greater than and less than or equal to sign10/10/2023 ![]() ![]() Always isolate the variables you are working with to know which one is greater than, less than, equal to or not equal.Inequalities are used to demonstrate relationships.Therefore, you can find them easier to work with by keeping the following in mind: Notably, many inequalities can be tricky because you do not solve for a straightforward answer. Tricks to Use When Working with Less than and Greater than signs The number on the left is not equal to the one on the right. In this case, it simply means that two is not equal to four. You simply check the equal sign that has been crossed. When you use the “does not equal sign,” remembering it is even simpler. However, the situation will be less than or equal to a type of relationship. If you put it the other way, it will also be true. Therefore, it implies that either five or six are greater or equal to two. This equation shows a greater sign, but it also has a half equal sign. ![]() The equal to or less than and equal to signs simply feature a half equal sign symbol under them. Once you have grasped the concepts of the L method and the Alligator method, things will start becoming easy. However, < will make an L with simple tilting. The Secret to Remembering does not resemble an L, it cannot be less than. The number on the left side does not equal the one on the right. This sign indicates that the number on the right side is greater or equal to the one on the left. This symbol means that the number provided is less than or equal to the one on the left. It means that the number on the left side is bigger compared to the one on the right. What Does Greater and Less than Symbol Mean?.The arrow at the end indicates that the solutions continue infinitely. The blue line is drawn to the right on the number line because the values in this area are greater than −3. For example, notice that for the graph of \displaystyle x\geq -3 shown above, the end point is −3, represented with a closed circle since the inequality is greater than or equal to −3. This is shown by a line with an arrow at the end. The graph then extends endlessly in one direction. When the end point is not included in the solution, we often say we have strict inequality rather than inequality with equality. The end point is not part of the solution. An open circle is used for greater than (>) or less than (<). A closed, or shaded, circle is used to represent the inequalities greater than or equal to \displaystyle \left(\geq\right) or less than or equal to \displaystyle \left(\leq\right). This point is often called the end point of the solution. Graphing an InequalityĪnother way to represent an inequality is by graphing it on a number line:Įach of these graphs begins with a circle-either an open or closed (shaded) circle. The sides of any inequality can be switched as long as the inequality symbol between them is also reversed. One way to represent such a list of numbers, an inequality, is by using an inequality symbol: Rather than try to list a possibly infinitely large set of numbers, mathematicians have developed some efficient ways to describe such large lists. Sometimes, several numbers will satisfy an inequality, but at other times infinitely many numbers may provide solutions. In algebra, inequalities are used to describe sets of values, as opposed to single values, of a variable. Special symbols are used in these statements. Represent inequalities on a number lineĪn inequality is a mathematical statement that compares two expressions using a phrase such as greater than or less than.Represent inequalities using an inequality symbol. ![]()
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