Resolva as inequações sendo x um numero racional
A) 4x/5-1/2>x/10+3/5
b) 8-7x/2>5+x/3
c) 2-x-2/4>3+x-3/3
d) x+3/3-1<2x+1/2
e) x-7/4+1/3>x-1/2
f) 2x-1/10-3x-2/5≥1/5
g) 3x-4/2-x+3/4>x/2
quero bem detalhada se for possível
Soluções para a tarefa
a) 4x/5 - 1/2 > x/10 + 3/5
(8x-5)/10 > (x+6)/10
8x -5 > x+6
8x - x > 6 + 5
7x > 11
x > 11/7
b) 8 - 7x/2 > 5 + x/3
(16 - 7x)/2 > (15 + x)/3
3(16 - 7x) > 2(15 + x)
48 - 21x > 30 + 2x
- 21x - 2x > 30 - 48
-23x > -18
x < 18/23
c) 2 -(x - 2)/4 > 3 + (x - 3)/3
[8 - (x - 2)]/4 > [9 + (x - 3)]/3
(8 - x + 2)/4 > (9 + X - 3)/3
(10 - x)/4 > (6 + x)/3
30 - 3x > 24 + 4x
-3x - 4x > 24 - 30
-3x > -6
x< 2
d) (x + 3)/3 - 1 < (2x + 1)/2
(x + 3-3)/3 < (2x + 1)/2
x/3 < (2x + 1)/2
2x < 6x + 3
2x - 6x < 3
- 4x < 3
x > -3/4
e) (x - 7)/4 + 1/3 > (x - 1)/2
(3x - 21 + 4)/12 > (x - 1)/2
(3x - 17)/12 > (x - 1)/2
6x - 34 > 12x - 12
6x - 12x > -12 + 34
-6x > -22
3x < 11
x < 11/3
f) (2x - 1)/10 - (3x - 2)/5 ≥1/5
(2x - 1 - 6x +4)/10 ≥ 1/5
(-4x +3)/10 ≥ 1/5
-20x + 15 ≥ 50
-20x ≥ 50 - 15
-20x ≥ 35
4x ≤ -7
x ≤ - 7/4
g) (3x - 4) /2 - (x + 3)/4 > x/2
(6x - 8 - x - 3)/4 > x/2
(5x - 11) /4 > x/2
10x - 22 > 4x
6x > 22
3x > 11
X > 11/3