| Symbol |
Name |
Explanation |
Examples |
| Read as |
| Category
|
= |
|
x = y means x and y represent the same thing or value. |
1 + 1 = 2 |
| is equal to; equals |
| everywhere
|
≠
<>
!= |
|
x ≠ y means that x and y don't represent the same thing or value.
(The symbols != and <> are primarily from computer science. They are avoided in mathematical texts.) |
1 ≠ 2 |
| is not equal to; doesn't equal |
| everywhere
|
<
>
≪
≫ |
|
x < y means x is less than y.
x > y means x is greater than y.
x ≪ y means x is much less than y.
x ≫ y means x is much greater than y. |
3 < 4 5 > 4 0.003 ≪ 1000000
|
| is less than, is greater than, is much less than, is much greater than |
| order theory
|
≤ <=
≥ >= |
|
x ≤ y means x is less than or equal to y.
x ≥ y means x is greater than or equal to y.
(The symbols <= and >= are primarily from computer science. They are avoided in mathematical texts.) |
3 ≤ 4 and 5 ≤ 5 5 ≥ 4 and 5 ≥ 5 |
| is less than or equal to, is greater than or equal to |
| order theory
|
<· |
|
x <• y means that x is covered by y. |
). |
| equal by definition |
| everywhere |