Question

3. Rezolvați în Z ecuațiile:
a)-x+4<-3=>
b)-2x+1>-3x+4-5x=>
c)-5x+6<-4=>
d)3x+5<4x+2=>
e)3(-x+4)-5>2(-x+1)=>

Answer 1

a)-x+4<-3⇒-x<-4-3⇒-x<-7/(-1)⇒x<7
b)-2x+1>-3x+4-5x⇒-2x+1>-8x+4⇒-2x+8x>-1+4⇒6x>3⇒x>3/6⇒x>1/2
c)-5x+6<-4⇒-5x<-6-4⇒-5x<-10⇒x<-10/-5⇒x<2
d)3x+5<4x+2⇒3x-4x<-5+2⇒-x<-3/(-1)⇒x<3
e)3(-x+4)-5>2(-x+1)⇒-3x+12-5>-2x+2⇒-3x+7>-2x+2⇒-3x+2x>-7+2⇒-x>-5/(-1)⇒x>5
sucees