Question

Resolva as inequações: A)5x-15<2x+3+5 B)2x+x-5>19+5x C)3(x-2)<5x-8 D)2(x-3)+3(x-1)≤36 E)4-3x>x+6

Answer 1

a)5x-15<2x+3+5
5x-2x<+3+5+15
3x<23
x<23/3

b)2x+x-5>19+5x
2x+x-5x<19+5
3x-5x<24
-2x<24 (-1)
2x>-24
x>-24/2

c)3(x-2)<5x-8
3x-6<5x-8
3x-5x<-8+6
-2x<-2 (-1)
2x>2
x>2/2

d)2(x-3)+3(x-1)≤36
2x-6+3x-3≤36
2x+3x≤36+3+6
5x≤45
x≤45/5

e)4-3x>x+6
-3x-x>6-4
-2x>2 (-1)
2x<-2
x<-2/2