Write as an Inequality Calculator
Introduction & Importance
Write as an inequality calculator is a powerful tool that helps you solve complex inequalities. Understanding inequalities is crucial in mathematics, physics, economics, and many other fields.
How to Use This Calculator
- Enter the inequality in the provided field.
- Select the interval type: open or closed.
- Click ‘Calculate’.
Formula & Methodology
The calculator uses the following steps to solve inequalities:
- Simplify the inequality.
- Determine the critical points.
- Test intervals around the critical points.
- Write the solution in interval notation.
Real-World Examples
Example 1
Solve: 3x - 5 < 7
Solution: x < 4
Example 2
Solve: 2x + 3 >= 11 with closed interval
Solution: x >= 4
Example 3
Solve: x^2 - 4x + 3 < 0 with open interval
Solution: x ∈ (1, 3)
Data & Statistics
| Symbol | Meaning |
|---|---|
| < | Less than |
| > | Greater than |
| <= | Less than or equal to |
| >= | Greater than or equal to |
| Notation | Meaning |
|---|---|
| (a, b) | Open interval: all numbers between a and b, but not including a or b |
| [a, b] | Closed interval: all numbers between a and b, including a and b |
| (a, b] | Half-open interval: all numbers between a and b, including b but not a |
| [a, b) | Half-open interval: all numbers between a and b, including a but not b |
Expert Tips
- Always simplify the inequality before solving.
- Be careful with negative numbers and zero when determining intervals.
- Practice makes perfect. The more you use this calculator, the better you’ll get at solving inequalities.
Interactive FAQ
What is an inequality?
An inequality is a mathematical statement that compares two expressions, indicating that one is greater than, less than, or equal to the other.
What is interval notation?
Interval notation is a way to represent sets of numbers using a shorthand notation. It’s used to write the solution to an inequality.
For more information, see these authoritative sources: