Resolva, Em R,as inequaçoes: a)-4x+3<0 b)-2x<0 c)3x+6 >0 d)x-3<-x+5 e)3(x-1)+4x<-10
f) -2(x-1)-5(1-x)>0
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a) -4x+3<0 => -4x<-3 => -4x<-3.(-1) => 4x>3 => x>3/4 => x > 0,75
b) -2x<0 => -2x<0.(-1) => 2x>0 => x>0/2 => x > 0
c) 3x+6>0 => 3x>-6 => x>-6/3 => x > -2
d) x-3<-x+5 => x+x<5+3 => 2x<8 => x<8/2 => x < 4
e) 3(x-1)+4x<-10 => (3.x)(3.-1)+4x<-10 => 3x-3+4x<-10 => 3x+4x<-10+3 => 7x<-7 => x<-7/7 => x < -1
f) -2(x-1)-5(1-x)>0 => (-2.x)(-2.-1)(-5.1)(-5.-x)>0 => -2x+2-5+5x>0 => -2x+5x>-2+5 => 3x>3 => x>3/3 => x > 1
Espero ter ajudado ;3
b) -2x<0 => -2x<0.(-1) => 2x>0 => x>0/2 => x > 0
c) 3x+6>0 => 3x>-6 => x>-6/3 => x > -2
d) x-3<-x+5 => x+x<5+3 => 2x<8 => x<8/2 => x < 4
e) 3(x-1)+4x<-10 => (3.x)(3.-1)+4x<-10 => 3x-3+4x<-10 => 3x+4x<-10+3 => 7x<-7 => x<-7/7 => x < -1
f) -2(x-1)-5(1-x)>0 => (-2.x)(-2.-1)(-5.1)(-5.-x)>0 => -2x+2-5+5x>0 => -2x+5x>-2+5 => 3x>3 => x>3/3 => x > 1
Espero ter ajudado ;3
bianka31:
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