Less than and Less than or equal to

Related Words

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 <>

Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student