Question

30) Resolva as inequações: ( OBS: O sinal "/" representa o sinal de fração).

A) 3 x + x/2 > 5/2

B) 2x/3 - x/2 <1

C) x/3 -2< 4x/3 - 4

D) x/6 + x-1/2 <2

Answer 1

3 x + x/2 > 5/2
3x +x/2 - 5/2 >0
3x + x-5 >0
4x -5 >0
4x >5
x >5/4

2x/3 - x/2 <1
2x/3 -x/2 -1 <0
[4x- 3x-6] /6 <0
4x -3x -6 <0
x -6 <0
x<6

x/3 -2< 4x/3 - 4
x/3 -2 -4x/3 +4 <0
x/3 - 4x/3 +2 <0
-3x/3 +2 <0
-x +2 <0
[-x <2] [-1]
x >2


x/6 + x-1/2 <2
x/6 +x -1/2 -2 <0
x +3x -3 -12/6 <0
4x -15 <0
4x <15
x <15/4