Less than and Less than or equal to
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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 > 8B. 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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