What is Less Than or Equal To (≤)?

S1-SA5-0591

Grade Level:

Class 5

Maths, Computing, AI, Logic

Definition

What is it?

The symbol '≤' means 'less than or equal to'. It is used to compare two numbers or values. When you see 'A ≤ B', it means that A can be smaller than B, or A can be exactly the same as B.

Simple Example

Quick Example

Imagine you need to score 'less than or equal to' 50 marks to pass a quiz. This means if you score 45 marks (which is less than 50) or exactly 50 marks, you will pass. But if you score 51 marks, you will not pass.

Worked Example

Step-by-Step

Let's check if the statement '15 ≤ 20' is true or false.

Step 1: Understand the symbol. '≤' means 'less than or equal to'.
---Step 2: Compare the first number (15) with the second number (20).
---Step 3: Is 15 less than 20? Yes, 15 is indeed smaller than 20.
---Step 4: Since one part of the condition (less than) is true, the whole statement '15 ≤ 20' is true.

Answer: True.

Why It Matters

Understanding 'less than or equal to' is crucial for logic and problem-solving in maths, computing, and even AI. Computer programmers use it to set rules, like 'if age ≤ 18, then show child discount'. It's fundamental for careers in data science, software engineering, and even game development.

Common Mistakes

MISTAKE: Confusing 'less than or equal to' (≤) with 'less than' (<). | CORRECTION: Remember that '≤' includes the possibility of the numbers being exactly equal, while '<' means strictly smaller.

MISTAKE: Thinking '5 ≤ 5' is false. | CORRECTION: '5 ≤ 5' is true because 5 is 'equal to' 5. The 'or equal to' part makes it true.

MISTAKE: Reading the symbol incorrectly, e.g., reading 'A ≤ B' as 'A is greater than or equal to B'. | CORRECTION: Always remember the smaller, pointed end of the symbol points towards the smaller number. The open end points towards the larger number.

Practice Questions

Try It Yourself

QUESTION: Is the statement '10 ≤ 8' true or false? | ANSWER: False

QUESTION: If you need to spend 'less than or equal to' ₹100 for a snack, and you spend ₹99, did you meet the condition? | ANSWER: Yes

QUESTION: Which of these numbers satisfies the condition 'x ≤ 7': 5, 7, 9? | ANSWER: 5 and 7

MCQ

Quick Quiz

Which of these statements is TRUE?

12 ≤ 10

8 ≤ 7

15 ≤ 15

20 ≤ 19

The Correct Answer Is:

Option C (15 ≤ 15) is true because 15 is 'equal to' 15. All other options are false because the first number is greater than the second, and thus not 'less than or equal to' it.

Real World Connection

In the Real World

When you buy movie tickets online, the system often checks if your age is 'less than or equal to' a certain limit for a child discount. Or, when you recharge your mobile data, the app might tell you that your daily usage '≤' 2GB is recommended to avoid extra charges.

Key Vocabulary

Key Terms

INEQUALITY: A mathematical statement comparing two values that are not equal. | COMPARISON OPERATOR: A symbol used to compare two values, like ≤, <, ≥, >. | TRUE: Correct or valid. | FALSE: Incorrect or invalid.

What's Next

What to Learn Next

Great job learning about 'less than or equal to'! Next, you can explore 'greater than or equal to' (≥). It's the opposite of what you just learned and will help you compare numbers in different ways, making your understanding of inequalities even stronger.