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 �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="" 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

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 <>

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