5|2x-7|=5

Lösung

5 ∣ 2 x - 7 ∣ = 5

x = 3 or x = 4

Schritte zur Lösung

5 ∣ 2 x - 7 ∣ = 5

Teile beide Seiten durch

5

∣ 2 x - 7 ∣ = 1

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 x - 7 = - 1 or 2 x - 7 = 1

2 x - 7 = - 1 or 2 x - 7 = 1

x = 3 or x = 4

j (x) = ∣ - 0.5 x ∣ + 2

∣ 2 - 9 x ∣ = 7

∣ x - 2 ∣ = 2 x + 3

∣ x - 3 ∣ = 4 x - 7

∣ x - 3 ∣ + ∣ x - 1 ∣ = 5