Question

Rezolvati in Z inecuatiile :
A x-12<-15 =
B x+7<_3=
C -3x<9=
D 2x <_-6 =
E -6x>-12 =
F -x-5>_-7 =

Answer 1

a)x-12<-15⇒x<12-15⇒x<-3
x∈[-3+∞).
b)x+7≤3⇒x≤3-7⇒x≤-4
x∈[-4+∞)
c)-3x<9⇒x<9/-3⇒x<-3
x∈[-3+∞)
d)2x≤-6⇒x≤-6/2⇒x≤-3
e)-6x>-12⇒x>-12/-6⇒x>2
f)-x-5≥-7⇒-x≥5-7⇒-x≥-2/(-1)⇒x≥2
sucees

Answer 2

A) x-12<-15 | +12
x<-3
S={.............;-6;-5-4}
B)x+7<_3 | -7
x<_-4
S={.......................;-6;-5;-4}
C)-3x<9 | +3
x<12
{ .........................;9;10;11}
D) 2x<_-6 | :2
x<_-3
S={....................;-6;-5;-4}
E)-6x>-12 | : (-6)
x>2
S={3;4;5;.......................}
F)-x-5>_-7|+5
-x>_-2 => x>_2
S={2;3;4;5;......................}

Sper ca te-am ajutat !