|x-2|>2

Lösung

∣ x - 2 ∣ > 2

x < 0 or x > 4

Intervall-Notation

(- \infty, 0) \cup (4, \infty)

Schritte zur Lösung

∣ x - 2 ∣ > 2

Wende Absoluteregel an: Wenn

∣ u ∣ > a, a > 0

dann

u < - a

u > a

x - 2 < - 2 or x - 2 > 2

x - 2 < - 2 or x - 2 > 2

x < 0 or x > 4

x^{2} + x = 6

f a c t or 2 x^{3} - 98 x

3 x - 4 = 11

3 x^{2} - 3 x - 4 = 0

\frac{1}{x} < 5