Question

14) Resolva as seguintes inequações:
a) 8 - 3 (2k-1) < 0.
b) x/3 - (x+1)/2 = (1 - x) / 4
c) (x + 3) > (-x-1)
d) [1 – 2.(x-1)] < 2
e) 6x + 3 < 3x + 18

Answer 1

Resposta:

a)

8 - 3 (2k-1) < 0

8-6k+3< 0

-6k < -11

6k > 11

k >11/6

b)

x/3 - (x+1)/2 = (1 - x) / 4

tudo vezes 12

4x -6*(x+1) =3*(1-x)

4x-6x-6 =3-3x

4x-6x+3x =6+3

x=9

c)

(x + 3) > (-x-1)

x+x > -1-3

2x>-4

x>-2

d)

[1 – 2.(x-1)] < 2

1-2x+2<2

-2x <-1

2x>1

x>1/2

e)

6x + 3 < 3x + 18

3x < -3+18

3x < 15

x<5