Types of Inequalities
The inequalities are of two types named as,
- Strict Inequality
- Non-Strict Inequality
These two inequalities are discussed below:
Strict Inequality (<)
This type of inequality represents a situation where the left-hand side is strictly smaller than the right-hand side.
For example:
- 2 < 7
- x < 10; x is less than 10 this means x can be -∞ to 9
Strict Inequality on Number Line
To visualize inequalities using the less than symbol, you can plot the numbers on a number line. The number line provides a graphical representation of how values compare to each other.
Let’s consider an example:
x < 4. This inequality means that the value of x is less than 4. On the number line, you would represent this by shading the region to the left of 4.
Non-strict Inequality (≤)
In this case, the left-hand side is may be smaller but can be equal to the right-hand side also.
For example: 3 ≤ 3 (Three is less than or equal to three).
Non-strict Inequality on Number Line
Let’s consider an example:
x ≤ 4, this inequality means that the value of x is less or equals to 4 (including 4). On the number line, you would represent this by shading the region to the left and on the 4.
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Less Than Symbol in Maths
Less Than Sign, denoted as “<,” is a mathematical symbol that shows an inequality between two values. When we use the “<” symbol, it means that the value or quantity on the left-hand side is smaller than the value on the right-hand side.
Let’s discuss Less Than Symbol, its applications in Inequalities along with some solved examples.
Table of Content
- What is Less Than Symbol?
- Less than Symbol Meaning
- Less Than Symbol Examples
- Table of Mathematical Signs – Less Than, Greater Than, and Equals to
- How to Remember Less Than Symbol?
- L Method for Less Than Symbol
- Closed Mouth Method for Less Than Symbol
- Less Than, Greater Than and Equal To Symbols
- Greater Than Sign
- Less Than Sign
- Equal to Sign
- Less Than or Equal to Symbol
- Not Less Than Symbol
- Less Than Symbol in Inequalities
- Types of Inequalities
- Strict Inequality (<)
- Non-strict Inequality (≤)
- Less Than Symbol Examples
- Less Than Symbol Questions