Question

Rezolvati in Z inecuatiile:
a) 3(2x-1) - 17 mai mic sau egal decat x - 40
c) (x-1) la puterea a 2 - 10 mai mare sau egal decat (x+3) la puterea a 2 + 14
e) (x-2) la puterea a 2 + 3x mai mare sau egal decat (x+1) la puterea a 2 + 9

Answer 1

3(2x-1)-17≤x-40
6x-3-17-x≤-40
5x≤-40+20
x≤-20:5
x≤-4            x=-4;-5;-6..........

(x-1)²-10≥(x+3)²+14
x²-2x+1-10≥x²+6x+9+14
x²-x²-2x-6x≥23+9
-8x≥32
-x≥32/8
x≥-4            x=-4;-3;-2...........

(x-2)²+3x≥(x+1)²+9
x²-4x+4+3x≥x²+2x+1+9
x²-x²-x-2x≥10-4
-3x≥6
x≥-6/3
x≥-2     x=-2;-1;0.......