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In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. [1] Equality between A and B is written A = B, and pronounced " A equals B ". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side (RHS).
Symbol Symbol Name Meaning / definition Example; x: x variable: unknown value to find: when 2x = 4, then x = 2: ≡: equivalence: identical to : ≜: equal by definition: equal by definition
The list below has some of the most common symbols in mathematics. However, these symbols can have other meanings in different contexts other than math. If x=y, x and y represent the same value or thing. If x≈y, x and y are almost equal. If x≠y, x and y do not represent the same value or thing. If x<y, x is less than y.
SymbolNameRead AsMeaning=Equalis equal toIf x=y, x and y represent the same value ...≡Definitionis defined asIf x≡y, x is defined as another name of ...≈Approximately equalis approximately equal toIf x≈y, x and y are almost equal.≠Inequationdoes not equal, is not equal toIf x≠y, x and y do not represent the same ...Nov 8, 2021 · While the equal sign represents the fact that two factors are the same under all conditions, equivalence refers to portions of equality between the two or more factors. Moreover, two factors that are similar under a particular condition, fulfill one of the three equivalence relations: Reflexivity: a ~ a. Symmetry: If a ~ b, then b ~ a.
- Less Than and Greater Than
- Or Equal to ...
- Why Use them?
- Changing Sides
- An Example Using Algebra
The "less than" sign and the "greater than" sign look like a "V" on its side, don't they? To remember which way around the "<" and ">" signs go, just remember: 1. BIG > small 2. small < BIG Greater Than Symbol: BIG > small
Sometimes we know a value is smaller, but may also be equal to! To show this, we add an extra line at the bottom of the "less than" or "greater than" symbol like this:
Because there are things we do not know exactly ... So we have ways of saying what we doknow (which may be useful!)
We saw in that previous example that when we change sides we flipped the symbol as well. Here is another example using "≥" and "≤":
OK, this example may be complicated if you don't know Algebra, but I thought you might like to see it anyway:
Being equal means being identical or having the same amount, size, or value. The concept of equality is one that is used throughout mathematics. It is addressed in depth within algebra which is used to some degree in most mathematical applications. Below are a few figures that illustrate the concept of equality. There are 3 cups and 3 saucers.
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In mathematics and logic, the “and” symbol is represented by ∧ and the “or” symbol by ∨. Here’s a simple example using these symbols: Example 1: Statement: “It is raining and cold.”. Mathematical Expression: Let statement p represent “It is raining” and q represent “It is cold.”. The expression becomes p∧q.
