Algebra symbols, including +, -, *, =, <, >, and parentheses, provide a concise language for expressing mathematical concepts. They represent operators, variables like "x" or "y," and aid in solving equations by indicating priority and grouping. The equals sign "=" and inequality symbols (< less than, > greater than/ ≤ less than or equal to sign/ ≥ Means greater than or equal to sign ) play pivotal roles in balancing and comparing algebraic expressions.
Symbol |
Name of the Symbol |
Meaning / Definition |
x |
Variable |
Represents an unknown or placeholder value in an equation. |
≡ |
Equivalence |
Denotes identical or equivalent in value or definition. |
≜ |
Equal by Definition |
Represents equal by definition. |
≈ |
Approximately Equal |
Indicates an approximation, the values are nearly equal. |
∝ |
Proportional To |
Denotes a proportional relationship between quantities. |
∞ |
Lemniscate |
Represents infinity or a figure-eight-shaped curve. |
< |
Less Than |
Signifies that one quantity is smaller than another. |
≤ |
Inequality |
Means less than or equal to sign |
> |
Greater Than |
Signifies that one quantity is greater than another. |
≥ |
Inequality |
Means greater than or equal to sign |
≪ |
Much Less Than |
Signifies that one quantity is significantly smaller than another. |
≫ |
Much Greater Than |
Signifies that one quantity is significantly larger than another. |
() |
Parentheses |
Used for grouping terms or to indicate order of operations. |
[] |
Brackets |
Used for intervals or grouping terms in equations. |
{} |
Braces |
Used for sets or functions. |
⌊x⌋ |
Floor Brackets |
Denotes the greatest integer less than or equal to a given number. |
⌈x⌉ |
Ceiling Brackets |
Denotes the smallest integer greater than or equal to a given number. |
x! |
Exclamation Mark |
Denotes factorial (product of an integer and all below it). |
| x | |
Vertical Bars |
Represents absolute value or in sets to denote cardinality. |
f(x) |
Function of x |
Denotes a function with 'x' as its input variable. |
fog |
Function Composition |
Represents the composition of two functions 'f' and 'g'. |
(a, b) |
Open Interval |
Represents a range of values including 'a' but not 'b'. |
[a, b] |
Closed Interval |
Represents a range of values including both 'a' and 'b'. |
Δ |
Delta |
Represents change or difference between values. |
Δ |
Discriminant |
In quadratic equations, it represents part of the quadratic formula. |
Σ |
Sigma |
Denotes summation of a sequence of values. |
Σ |
Sigma (Capital Pi) |
Denotes product of a sequence of values. |
e |
E Constant / Euler's Number |
Represents the base of the natural logarithm. |
γ |
Euler-Mascheroni Constant |
Represents the difference between the harmonic series and natural logarithm. |
φ |
Golden Ratio |
Represents the ratio found in mathematics and nature. |
π |
Pi Constant |
Represents the ratio of a circle's circumference to its diameter. |
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