Skip to main content
Skip to main content

What Does "Less Than or Equal To" Mean?

Understanding comparison with everyday objects
Understanding comparison with everyday objects

"Less than or equal to" is a math concept we use to compare numbers or amounts. When we say one number is "less than or equal to" another number, it means:

Either: The first number is smaller than the second number
Or: The first number is exactly the same as the second number

For example, if you have 3 apples and your friend has 5 apples, we can say "3 is less than or equal to 5" because 3 is smaller than 5. If you both had 4 apples, we could also say "4 is less than or equal to 4" because they are equal.

This concept helps us understand relationships between numbers and solve math problems.

The Less Than or Equal To Symbol

In math, we use special symbols to show comparisons quickly. The symbol for "less than or equal to" looks like this:

Math Symbol

This symbol means "less than or equal to"

The symbol is made up of two parts:

The less than sign (<) - which shows that one number is smaller than another
The equal sign (=) - which shows that two numbers are exactly the same

When we put these together, we get ≤ which means "less than OR equal to."

You can remember this symbol by thinking of it as a hungry alligator that wants to eat the bigger number, but it's also happy if the numbers are equal!

How to Use Less Than or Equal To

Learning to compare numbers correctly
Learning to compare numbers correctly

Using the less than or equal to symbol is easy once you know how to compare numbers. Here's how to do it:

Step 1: Look at the two numbers you want to compare
Step 2: Ask yourself: "Is the first number smaller than the second number?"
Step 3: If not, ask: "Are the two numbers equal?"
Step 4: If the answer to either question is YES, then you can use the ≤ symbol

Let's practice with an example:

Compare 4 and 7
Is 4 smaller than 7? → Yes
So we can write: 4 ≤ 7

Compare 5 and 5
Is 5 smaller than 5? → No
Are they equal? → Yes
So we can write: 5 ≤ 5

Compare 8 and 3
Is 8 smaller than 3? → No
Are they equal? → No
So we cannot use ≤ (we would use > instead)

Real-World Examples

Math comparisons in daily life
Math comparisons in daily life

We use "less than or equal to" in many real-life situations. Here are some examples:

Example 1: Amusement park rides often have height restrictions
"You must be ≤ 48 inches tall to ride"
This means your height must be 48 inches or less

Example 2: Movie theaters have age-based ticket prices
"Child ticket: Age ≤ 12"
This means children 12 years old or younger get the child price

Example 3: Speed limits on roads
"Speed ≤ 55 mph"
This means you should drive 55 miles per hour or slower

Example 4: Baking recipes
"Bake at 350°F for ≤ 30 minutes"
This means bake for 30 minutes or less

Example 5: Store discounts
"Discount applies to orders ≤ $100"
This means orders of $100 or less get the discount

Number Comparison Examples

Comparison Is it true? Explanation
5 ≤ 8Yes5 is less than 8
7 ≤ 7Yes7 is equal to 7
4 ≤ 3No4 is greater than 3
10 ≤ 15Yes10 is less than 15
12 ≤ 12Yes12 is equal to 12
9 ≤ 6No9 is greater than 6

Practice Quiz

Test your understanding with this 5-question quiz. Choose the correct answer for each question.

1. What does the symbol ≤ mean?
2. Which of these statements is true?
3. If a store sign says "Discount for ages ≤ 10", who can get the discount?
4. Which number makes this statement true? 15 ≤ ?
5. Which of these is NOT a correct use of ≤?

Frequently Asked Questions

Here are answers to common questions about less than or equal to:

Math Trivia

Discover interesting facts about math symbols and comparisons:

Copyright © 2025 Workybooks. Made with ♥ in California.