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 y.’
  • The notation ‘xy’ 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