Understanding Disequazioni Fratte (Fractional Inequalities)
This page provides a detailed explanation of disequazioni fratte, or fractional inequalities, along with disequazioni fratte esercizi svolti solvedexercises to illustrate the concept.
The page begins by presenting the general form of a fractional inequality:
Nx / Dx > 0
Where Nx represents the numerator and Dx the denominator.
Definition: A disequazione fratta is an inequality where the variable appears in both the numerator and denominator of a fraction.
The solving process involves two main steps:
- Setting the numerator equal to zero: Nx = 0
- Ensuring the denominator is greater than zero: Dx > 0
Example: The page provides a specific example of a fractional inequality:
4−x / x+7 > 0
For this example:
- Numerator N: 4 - x > 0
- Denominator D: x + 7 > 0
The page then presents another example:
4x−12 / 15−4x > 0
For this more complex example:
- N: 4x - 12 > 0
- D: 15 - 4x > 0
Highlight: The page emphasizes an important rule: If the inequality sign in the original equation is ≥ or >, the variable x is considered in the "plus" region. If the sign is ≤ or <, x is considered in the "minus" region.
The page concludes with the solution to the second example:
x < 3 or x > 4
Vocabulary:
- Numeratore: Numerator
- Denominatore: Denominator
This comprehensive guide provides a clear disequazioni fratte schema scheme for solving fractional inequalities, making it an excellent resource for students studying disequazioni fratte di primo grado first−degreefractionalinequalities and disequazioni fratte di secondo grado second−degreefractionalinequalities.