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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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