Less than sign

by Yogi P - April 25, 2025

Understanding the Less-Than Symbol in Maths: A Simple Guide

Math uses special symbols to compare numbers quickly. Less than symbol (<) is one of the most important symbol, which shows when one number is smaller than another. Let’s break down how this symbol works with clear examples and memory tricks.

What is Less Than Symbol ?

The symbol < means “less than.” It points to the smaller number, like an arrow showing which value is lower:

5 < 9 → “5 is less than 9”
-3 < 0 → *”-3 is less than 0″*
½ < 1 → “½ is less than 1”

How to Remember the Symbol

Two easy tricks help avoid mixing up < and >:

1. The Alligator Method

Imagine the symbol as an alligator’s mouth:

It always opens toward the bigger number (because it wants to eat more!).
- 3 < 5 (The mouth opens to 5)
- 10 < 15 (The mouth opens to 15)

2. The “L” Method

The less-than symbol (<) looks like a slanted “L” (for “Less than”).
The greater-than symbol (>) does not.

Other Comparison Symbols

Math uses other symbols to compare numbers:

Symbol	Meaning	Example
=	Equal to	4 + 2 = 6
≠	Not equal to	5 ≠ 3
>	Greater than	7 > 4
≥	Greater/equal to	Students ≥ 18
≤	Less/equal to	Speed ≤ 60

Real-Life Example

Problem: Mia saved Rs.120 in May. This was at least $20 less than her April savings. How much did she save in April?

Solution:

Let A = April savings.
May savings = April savings − Rs.20 → 120 ≤ A − 20
Add $20 to both sides: A ≥ 140
Answer: Mia saved INR140 or more in April.

Common Questions

Q: Can you use “less than” with negative numbers?

A: Yes! -5 < -1 (because -5 is farther left on the number line).

Q: What’s the opposite of “less than”?

A: Greater than (>). Example: 8 > 3.

Q: How is “less than or equal to” (≤) different?

A: It includes the numbers being equal. Example: Age ≤ 12 means 12 or younger.

Why This Matters

Everyday decisions: Comparing prices (“This shirt costs < Rs.20“).
Math problems: Solving inequalities in algebra.
Data analysis: Identifying trends (e.g., temperatures < 32°F freeze water).

Practice spotting < in recipes, budgets, or weather reports—it’s everywhere!

Tip: Struggling to remember? Draw the alligator mouth or “L” next to problems until it sticks.