Less than Symbol

In Mathematics, the less-than symbol is a fundamental Mathematical symbol that describes the inequality between two values. The symbol used to represent the less than inequality is “ < “. It is a universally adopted math symbol of two equal measure strokes that meet in the acute angle at the right. The typical use of the less-than symbol is to compare two values in which the first number is less than the second number. The less than symbol is an approximation of opening angle bracket.

Less than Symbol Example

  • 2 < 5: 2 is less than 5
  • 0.8 < 1.2: 0.8 is less than 1.2
  • -0.6 < -0. 1: -0.6 is less than -0.1

Math Signs

Below is a list of all the Math Signs along with less than a symbol:

Symbol Description Example
= Equal to 4+3 = 7
Not equal to 5 + 3 ≠ 9
> Greater than 8 > 6
Greater than or equal to Students ≥ 8
< Less than 6 < 8
Less than or equal to Students ≤ 70

How to Remember the Less than Sign?

The best way to remember the less-than symbol is the “Alligator Method“. While comparing two values, think of the alligator method. It is known that the alligator’s mouth always points to the largest value, the reason being it can eat as much as possible. The alligator’s mouth always opens to the right to represent the less than inequality. We can also use the alligator method to use greater than a symbol. The alligator mouth points to the left to define the greater than symbol.

Example:

The representation of less than inequality between two numbers say 6 and 8, it is written by

  • 6 < 8

Less than Symbol

There are some other terminologies used alternately with less than such as

  • Smaller than
  • Lower than
  • Not so much as
  • Fewer than
  • Not as much
  • Not greater than
  • Below

Less than Symbol Word Problems

Before solving the less than sign inequality word problems, consider some of the strategies given below to solve the problem.

  • Go through the complete problem
  • Highlight the relevant and necessary keywords to resolve the problem
  • Identify the variables
  • Scribble down the equation
  • Solve the problem
  • Write the solution in comprehensive sentence format
  • Explain the answer.

Question: Arjun’s April profit of $150 was at least $11 less than his March month profit. Determine Arjun’s March month profit?

Solution:

The given statement is “April profit of $150 was at least $11 less than his March month profit”

Let “P” be the profit decrease from March to April

So, the inequality expression is

-11+P ≤ 150

Add 11 on both sides, the inequality expression becomes,

P ≤ 161

Therefore, the March month profit of Arjun’s was almost $161

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