LESS THAN AND LESS THAN OR EQUAL TO

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="">
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

Video Examples: Solving Inequalities: Greater Than/Less Than/Equal To

Example of Less than and Less than or equal to

7 < 12="" means="" that="" 7="" is="" les="" 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="">
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

Ques: 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 <>