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Probe mit a= 4, b = 82. 10. Die folgenden Ungleichungen sind zu lösen, das heisst die Werte für x zu bestimmen, welche der Ungleichung genügen: 4 a) 0,02 x + 10 < 12; b) 10 - 0,02 x< 12; c)x < x; d) x (2 x + 5) < 42; e) x (6 - x) < 9. 11. Man bestimme in der xy-Ebene den Bereich sämtlicher Punkte (xy), für welche die folgenden Ungleichungen gleichzeitig erfüllt sind: x- y <- x 2, + y < 14, 3x - y > 2. 12. Wie heissen die Ungleichungen, durch welche die inneren Punkte des Quadrates mit den Ecken (0,1), (1,0), (0, -1), (-1,0) bestimmt sind?

4 a b, 2 b (3 a 2 + bZ), 3. (x + a) (x + b), (x - a) (x - b), (x - a) (x 4. (a + 2 b)2, (2 a + 3 b)2, (2 a _ 1)s. + b). (x + 3 y), + a) (x - b). 60 Lösungen zu den Obungsaufgaben 5. (x - y + 1) (x + y + 1), (- x + y + 1) (x + Y - 1), (a - b + c) (a + b - cl, (a - b - c) (a + b + cl. 6. 2 a 2 (2 a - 1) (2 a + 1) (4 a 2 + 1), 2 x 2 (x - 2) (x + 2) (x 2 + 4), 2 x (x - 2) (x 2 + 2 x + 4), 2 a (2 a - 1) (4 a 2 + 2 a + 1). 7. (2x-2y-1) (2x+2y-1), (x-2y-2) (x+2y-2), (2 a - 3 b - 2 c) (2 a - 3 b + 2 cl, (3 a - 2 b - 3 c) (3 a - 2 b + 3 cl.

A. 0. 12. (Pd): (ar- pe). (aqd): (abr- bep). 4. Abhängigkeit. 15. 52. 58. 16. 0. 0. 0. b + e, C + a. a + b. 18. c. b. a. 19. Abhängigkeit. 1: abc, - (a + b + c): abc. (a b + bc + ca): abc. a. a+b. a+b+e. 1. l:a. 1:(a+l). 720. 24. a 2 - b 2 • b 2 _ c2 • c 2 _ aa. 11. 14. 17. 20. 25. ) (d =-~ (d - c) (d - a) (d - a) (d - b) (a - b) (a - c) • -(b --c)(b-=- a)' , (c - a) (e - b) '. 26. u = 1. v = 2. w = -1. x = -2. 27. u = I, v = 3. x = 7. Y 28. Für Minuszeichen: u v 1 = 2 (a + b 1 x = 2 (a - b z = -~- (a - b +d - e - e +c+d +c- Gruppe L: d = {- (a - b +c- d w + I).

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