**Definition of Less than and Less than or equal to**

- ‘Less than’ (<) and="" ‘less="" than="" or="" equal="" to’="" (≤)="" are="" the="" inequality="" symbols="" that="" are="" used="" to="" compare="" two="" numbers.="">

**More about Less than and Less than or equal to**

- The notation ‘
*x*<>*y’*means that ‘x is**less than**y.’ - The notation ‘
*x*≤*y’*means that ‘x is**less than or equal to**y.’ - The symbol ‘<’ describes="" whether="" the="" expression="" on="" the="" left="" is="" less="" than="" the="" expression="" on="" the="" right.="">
- The symbol ‘≤’ describes whether the expression on the left is less than the expression on the right or equal to the expression on the right.

**Examples of Less than and Less than or equal to**

- 7 < 12="" means="" that="" 7="" is="" less="" than="" 12.="">
- 15 ≤ 33 means that 15 is less than or equal to 33.
*a*< 6="" means="" that="">*a*can equal any real number less than 6.*a*≤ 6 means that*a*is equal to any real number less than 6 as well as the number 6.

**Solved Example on Less than and Less than or equal to**

Joe and Bill have $12 each. Bill spends $5 on jellybeans, while Joe spends $4. Which of the inequalities describes the money left with Joe and Bill?

Choices:

A. 7 > 8

B. 7 <>

C. 7 ≤ 8

D. 12 ≥ 9

Correct Answer: B

Solution:

Step 1:Out of $12, Bill spends $5 while Joe spends $4. [Given.]

Step 2:Money left with Bill and Joe is $7 and $8 respectively. [Money left = money initially present - money spent.]

Step 3:So, the inequality for the money left with Joe and Bill is 7 <>

**Related Terms for Less than and Less than or equal to**

- Equal
- Inequality
- Number