<, ≤, >, and ≥ all compare two values or expressions.
The key distinction is simple: < and > are strict inequalities, so equality isn’t allowed. ≤ and ≥ include equality as a possible case.
The Four Symbols at a Glance
| Symbol | Code point | Unicode name | Meaning in ordinary order notation |
|---|---|---|---|
| < | U+003C | LESS-THAN SIGN | Left side is strictly less than the right |
| ≤ | U+2264 | LESS-THAN OR EQUAL TO | Left side is less than or equal to the right |
| > | U+003E | GREATER-THAN SIGN | Left side is strictly greater than the right |
| ≥ | U+2265 | GREATER-THAN OR EQUAL TO | Left side is greater than or equal to the right |
These are some of the most common math symbols, but the small difference between the strict and non-strict forms changes which boundary values are allowed.
< vs ≤: What Changes?
Consider:
x < 5
This allows values below 5, but not 5 itself.
Now compare:
x ≤ 5
This includes all values below 5 and the value 5.
The difference is the boundary.
> vs ≥ Works the Same Way
For x > 5, x must be strictly greater than 5.
For x ≥ 5, x can equal 5 or be greater than it.
Why Does Equality Matter So Much?
Because including or excluding one boundary value can change the solution set.
For example, x < 3 and x ≤ 3 contain almost the same real numbers, but only the second includes 3.
That distinction matters in inequalities, intervals, constraints, domains, optimization, probability, and many other areas of mathematics.
Strict vs Non-Strict Inequalities
The usual terminology is:
- < and > — strict inequalities;
- ≤ and ≥ — non-strict inequalities.
You’ll also hear ≤ and ≥ described informally as inclusive comparisons because they include the equality case.
Open and Closed Boundaries
When inequalities describe intervals, the same distinction appears at the endpoint.
x < 5 excludes the boundary 5, while x ≤ 5 includes it.
On number-line diagrams, excluded and included endpoints are often shown differently. The exact drawing convention belongs to mathematical notation rather than to Unicode itself.
Are ≤ and ≥ Two Characters Joined Together?
No.
Each is a single Unicode character:
U+2264 ≤
U+2265 ≥
They may visually resemble a less-than or greater-than sign combined with an equals sign, but they’re encoded independently.
What About <= and >=?
These are two-character ASCII sequences.
<= is U+003C followed by U+003D, while >= is U+003E followed by U+003D.
Programming languages commonly use these sequences because the dedicated ≤ and ≥ symbols aren’t part of ASCII. The programming language gives the sequence its comparison meaning.
Is <= the Same Character as ≤?
No.
They may express the same comparison in a particular programming language or plain-text convention, but they’re encoded differently.
≤ is one character. <= is two. The same distinction applies to ≥ and >=.
What About ≦ and ≧?
Unicode also contains:
- U+2266 ≦ LESS-THAN OVER EQUAL TO;
- U+2267 ≧ GREATER-THAN OVER EQUAL TO.
These are separately encoded characters even though they overlap strongly in meaning with ≤ and ≥.
Unicode explains that they are essentially stylistic variants kept separately mainly for round-trip compatibility with earlier standards that distinguished the forms.
So when copying mathematical text, don’t assume every less-than/equal-looking glyph is U+2264.
What About ≪ and ≫?
They answer a different question.
≪ is U+226A MUCH LESS-THAN and ≫ is U+226B MUCH GREATER-THAN. They don’t simply add or remove the equality case, and their mathematical meaning can depend heavily on the field.
For example, Less Than < vs Much Less Than ≪ explains why ≪ can act as Vinogradov notation rather than a literal “very small” comparison.
How Does This Relate to = and ≡?
The “equal” part of ≤ and ≥ refers to ordinary equality. It doesn’t turn the relation into U+2261 ≡ IDENTICAL TO.
If the distinction between those equality symbols is causing the confusion, Equals = vs Identical ≡: What’s the Difference? covers that separately.
How Can You Identify the Exact Character?
Check the code point:
- U+003C → < LESS-THAN SIGN;
- U+2264 → ≤ LESS-THAN OR EQUAL TO;
- U+003E → > GREATER-THAN SIGN;
- U+2265 → ≥ GREATER-THAN OR EQUAL TO.
If you see <= or >=, remember that those are two-character sequences rather than the single Unicode characters ≤ and ≥.
The Main Difference
< means strictly less than. ≤ means less than or equal to.
> means strictly greater than. ≥ means greater than or equal to.
If the boundary value should count, use the non-strict relation. If equality must be excluded, use the strict one.