| Hindi | Symbol | Symbol Name | Meaning / definition | Example |
| | { } | set | a collection of elements | A = {3,7,9,14}, B = {9,14,28} |
| | A ∩ B | intersection | objects that belong to set A and set B | A ∩ B = {9,14} |
| | A ∪ B | union | objects that belong to set A or set B | A ∪ B = {3,7,9,14,28} |
| | A ⊆ B | subset | A is a subset of B. set A is included in set B. | {9,14,28} ⊆ {9,14,28} |
| | A ⊂ B | proper subset / strict subset | A is a subset of B, but A is not equal to B. | {9,14} ⊂ {9,14,28} |
| | A ⊄ B | not subset | set A is not a subset of set B | {9,66} ⊄ {9,14,28} |
| | A ⊇ B | superset | A is a superset of B. set A includes set B | {9,14,28} ⊇ {9,14,28} |
| | A ⊃ B | proper superset / strict superset | A is a superset of B, but B is not equal to A. | {9,14,28} ⊃ {9,14} |
| | A ⊅ B | not superset | set A is not a superset of set B | {9,14,28} ⊅ {9,66} |
| | 2A | power set | all subsets of A | |
| | \mathcal{P}(A) | power set | all subsets of A | |
| | A = B | equality | both sets have the same members | A={3,9,14}, B={3,9,14}, A=B |
| | Ac | complement | all the objects that do not belong to set A | |
| | A \ B | relative complement | objects that belong to A and not to B | A = {3,9,14}, B = {1,2,3},A-B = {9,14} |
| | A - B | relative complement | objects that belong to A and not to B | A = {3,9,14}, B = {1,2,3}, A-B = {9,14} |
| | A ∆ B | symmetric difference | objects that belong to A or B but not to their intersection | A = {3,9,14}, B = {1,2,3}, A ∆ B = {1,2,9,14} |
| | A ⊖ B | symmetric difference | objects that belong to A or B but not to their intersection | A = {3,9,14}, B = {1,2,3}, A ⊖ B = {1,2,9,14} |
| | a∈A | element of , belongs to | set membership | A={3,9,14}, 3 ∈ A |
| | | | | |
| | x∉A | not element of | no set membership | A={3,9,14}, 1 ∉ A |
| | (a,b) | ordered pair | collection of 2 elements | |
| | A×B | cartesian product | set of all ordered pairs from A and B | A×B = {(a,b)｜a∈A , b∈B} |
| | ｜A｜ | cardinality | the number of elements of set A | A={3,9,14}, ｜A｜=3 |
| | #A | cardinality | the number of elements of set A | A={3,9,14}, #A=3 |
| | ｜ | vertical bar | such that | A={x｜3<x<14} |
| | | aleph-null | infinite cardinality of natural numbers set | |
| | | aleph-one | cardinality of countable ordinal numbers set | |
| | Ø | empty set | Ø = { } | C = {Ø} |
| | U} | universal set | set of all possible values | |
| | {N}0 | natural numbers / whole numbers set (with zero) | \mathbb{N}0 = {0,1,2,3,4,…} | 0 ∈ \mathbb{N}0 |
| | {N}1 | natural numbers / whole numbers set (without zero) | \mathbb{N}1 = {1,2,3,4,5,…} | 6 ∈ \mathbb{N}1 |
| | {Z} | integer numbers set | \mathbb{Z} = {…-3,-2,-1,0,1,2,3,…} | -6 ∈ \mathbb{Z} |
| | {Q} | rational numbers set | \mathbb{Q} = {x ｜ x=a/b, a,b∈\mathbb{Z}} | 2/6 ∈ \mathbb{Q} |
| | {R} | real numbers set | \mathbb{R} = {x ｜ -∞ < x <∞} | 6.343434∈\mathbb{R} |
| | {C} | complex numbers set | \mathbb{C} = {z ｜ z=a+bi, -∞<a<∞, -∞<b<∞} | 6+2i ∈ \mathbb{C} |