Question

Rezolvati in Z inecuatia:
2x - 3(x - 1 ) < 27 - 5x

Va rog ajutatima. Dau coroana celui mai complet si corect raspuns.

Answer 1

2x-3(x-1)<27-5x
2x-3x+3<27-5x
-x+3<27-5x
-x+5x< -3+27
4x<24
X<24:4
X<6

=> x€ {...,-3,-2,-1,0,1,2,3,4,5}

Answer 2

2x-3x+3<27-5x
-x+5x<27-3
4x<24 | :4
x<6
x∈(-∞;6)∩Z conditie

atunci solutia in Z a inecuatiei este
x∈{....-3;-2;-1;0;1;2;3;4;5}
sau x∈Z \ N ∪{0;1;2;3;4;5}
sau x∈Z, x<6
sau x∈Z;x≤5


verificare
 pt x=5
10-12<27-25 A

ptx=-1
-2+6<27+5 A

ptx=-100
-200+303<27+500 A