The absolute value is a fundamental concept in mathematics, representing the distance of a number from zero on the number line. This summary explores key properties and applications of absolute value, providing essential insights for students preparing for exams like the matura.
Własności wartości bezwzględnej (Properties of absolute value):
- Absolute value is always non-negative
- |x| = a implies x = a or x = -a
- |x| < a means x is between -a and a
- |x| > a means x is less than -a or greater than a
- |x - a| = t represents points at distance t from a
- |x + a| = |x - (-a)| shows symmetry around zero
Key formulas and applications:
- Solving equations and inequalities with absolute values
- Geometric interpretations on the number line
- Combining absolute values in expressions
This guide covers wartość bezwzględna zadania (absolute value problems) with detailed explanations and examples, making it an invaluable resource for students tackling wartość bezwzględna - zadania maturalne (absolute value problems in matura exams).
