Set is a collection of different elements. It could be numbers, alphabets, etc. Various symbols are used to denote them (like ℝ denote set of Real Numbers) and their relationship and operation (subset, union, etc).

These set symbols helps to represent mathematical ideas in a concise way and saves space and time. In this blog we have listed all the commonly used **Set symbols** together and how to get them in Ms Word along with their keyboard shortcuts

## List of set symbols along with their meaning and how to get them in Ms Word

### Three methods to get symbols in Ms Word

**Insert Symbol Method:** Go to **Insert** > **Symbols **and select **More Symbols**. In the symbol window, click the desired symbol and hit insert. Following table gives the **subset **dropdown option of each symbol that can help you find a symbol.

**Math AutoCorrect:** This is the **smartest **way to get any symbol in Ms Word. **Simply type the Math AutoCorrect text and hit space to get symbol.** It works inside Equation editor. However, you can make it work outside equation editor, with following one time setting.

- Go to
**File > Options**to open Word Options - In
**Proofing**and select**AutoCorrect Options** - In
**Math Autocorrect**tab, check box against**“Use Math AutoCorrect rules outside of math regions”**

**Alt X Method**: Type the Alt X code of symbol and press Alt + X immediately after it to get symbol.

Let’s say, P = {1, 2, 3, 4} and Q = {1, 3, 5}

Symbol | Name & Meaning | Example | Subset of Symbol | Math Autocorrect Shortcut (press space after shortcut to get symbol) | Alt X Code (type this code and press Alt+X) |
---|---|---|---|---|---|

ℕ | Natural number: All positive integers from 1 till infinity | ℕ = {1, 2, 3, …} | letterlike symbols | \doubleN | 2115 |

ℤ | Integers: A whole number (not fractional ) that are +ve, -ve or 0 | ℤ = {…, -2, -1,0 ,1 ,2 ,…} | letterlike symbols | \doubleZ | 2124 |

ℚ | Rational Numbers: a number that is of the form p/q where p and q are integers and q is not equal to 0 | 5, 10.45, 3/7 | letterlike symbols | \doubleQ | 211A |

𝔸 | Algebraic numbers: Number that is the solution to a polynomial with rational coefficients | 1, 3/7, √2 | Extended characters – Plane 1 | \doubleA | 1D538 |

ℝ | Real numbers: A number that includes rational and irrational numbers | 2, π, 2/7 | letterlike symbols | \doubleR | 211D |

𝕀 | Imaginary numbers: a real number multiplied by an imaginary unit which is defined by its property i^{2} = −1 | 5i, πi | Extended characters – Plane 1 | \doubleI | 1D540 |

ℂ | Complex number: a number of the form a + bi, where a and b are real numbers | 2+3i, 1.5-1i | letterlike symbols | \doubleC | 2102 |

{ } | Set: collection of elements | Q = {1, 3, 5} | – | – | – |

A ∪ B | Union: in A or B (or both) | P ∪ Q = {1, 2, 3, 4, 5} | Mathematical operators | \bigcup | 222A |

A ∩ B | Intersection: in both A | P ∩ Q = {1, 3} | Mathematical operators | \bigcap | 2229 |

A ⊆ B | Subset: every element of A is in B | {1, 3, 5} ⊆ Q or {2, 4} ⊆ P | Mathematical operators | \subseteq | 2286 |

A ⊂ B | Proper Subset: every element of A is in B,but B has more elements. | Correct: {1, 3} ⊂ QIncorrect: {1, 3, 5} ⊂ Q | Mathematical operators | \subset | 2282 |

A ⊄ B | Not a Subset: A is not a subset of B | {5, 6} ⊄ Q | Mathematical Operators | 2284 | |

A ⊇ B | Superset: A has same elements as B, or more | {1, 3, 5, 7} ⊇ {1, 3, 7} or {1, 3, 5, 7} ⊇ {1, 3, 5, 7} | Mathematical operators | \superseteq | 2287 |

A ⊃ B | Proper Superset: A has B’s elements and more | Correct: {1, 3, 5, 7} ⊃ {3, 5, 7} Incorrect: {1, 3, 5, 7} ⊃ {1, 3, 5, 7} | Mathematical operators | \superset | 2283 |

A ⊅ B | Not a Superset: A is not a superset of B | {1, 3, 5, 7} ⊅ {1, 9} | 2285 | ||

A^{c} | Complement: Elements not in A | Q^{c} = {1, 2, 6, 7} | – | – | – |

A − B | Difference: In A but not in B | Let X = {1, 2, 3, 4} and Y = {2, 4}, then X – Y = {1, 3} | – | – | – |

a ∈ A | Element: a is an element of A | 3 ∈ {1, 2, 3, 4} | Mathematical operator | \in | 2208 |

b ∉ C | Not an element: b is not an element of C | 2 ∉ {1, 3, 5} | Mathematical operator | \notelement | 2209 |

Ø | Empty set: { } | {1, 3} ∩ {2, 4} = Ø | Mathematical operator | \emptyset | 2205 |

𝕌 | Universal set: the set of all elements or members of all related sets | Extended Characters – Plane 1 | \doubleU | 1D54C | |

P(A) | Power set: all subset of A | P({a, b}) = { {}, {a}, {b}, {a, b} } | – | – | – |

A = B | Equality: both sets have the same members | {2, 5, 8} = {8, 2, 5} | – | – | – |

A×B | Cartesian Product:(set of ordered pairs from A and B) | {1, 2} × {a, b} = {(1, a), (1, b), (2, a), (2, b)} | Latin-1 Supplement | \times | 00D7 |

|A| | Cardinality: number of elements of set A | |{5, 6}| = 2 | – | – | |

| | Such that | { n | n > 0 } = {1, 2, 3,…} | – | – | – |

: | Such that | { n : n > 0 } = {1, 2, 3,…} | – | – | – |

∀ | For all | ∀ x >1, x^{2} > x(for all x greater than 1, x square is greater than x) | Mathematical operators | \forall | 2200 |

∃ | There exists | ∃ x | x^{2} < x(there exists x such that x squared is less than x) | Mathematical operators | \exists | 2203 |

∄ | There does not exist | ∄ x | x +1 < x | Mathematical operator | 2204 | |

∴ | Therefore | a=b ∴ b=a | Mathematical operators | \therefore | 2234 |

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