Algebraische Gleichungen: 7

© M. Kunz

Algebraische Gleichungen: 7

G = Z (d.h. in der Grundmenge sind die ganzen Zahlen!!!)

1. 2(3x - 1) < 5(2x + 3) 2. 2(x – 1) ≤ 3(x + 1) – 1

3. 4x – 5 + x(3 – x) < 6x – x(x + 2) 4. (x – 1)(x + 2) < (x + 1)²

5. (x – 2)²≤ (x – 3)²

6. (x + 6)(x – 1) > (x + 1)(x – 3) 7. x – 4(12 – x) – 3(20 – 3x) ≥ 18 8. 2(x – 50) – 18(2x – 3) < -11(4 + 3x)

Lösungen

Nr. Lösungsmenge L

1 x > -17/4 also: L = {-4, -3, -2, -1, 0, 1, 2, …}

2 x ≥ - 4 also: L = {-4, -3, -2, -1, 0, 1, 2, …}

3 x < 5/3 also: L = {1, 0, -1, -2, …}

4 x > -3 also: L = {-2, -1, 0, 1, 2, …}

5 x ≤ 5/2 also: L = {2, 1, 0, -1, -2, …}

6 x > 3/7 also: L = {1, 2, 3, 4, 5, …}

7 x ≥ 9 also: L = {9, 10, 11, 12, 13, …}

8 x > -2 also: L = {-1, 0, 1, 2, 3, …}