Question

Resolva as Inequações,sendo U=Q

A) 3x+4>7-3-1
B) 2x-1<4+x+5
C) 2x+x-5>19+5x
D) 12x+x-6<8x+4
E) x+9x>3-5x

Answer 1

Resolva as Inequações,sendo U=Q

A)
3x+4>7-3-1
3x + 4 > 7 - 4
3x + 4 > 3
3x > 3 - 4
3x > - 1
x > - 1/3



B)
2x-1<4+x+5
2x - 1 < x + 4 + 5
2x - 1 < x + 9
2x - 1 - x < 9
2x - x < 9 + 1
1x < 10
x < 10/1
x < 10



C)

2x+x-5>19+5x
3x - 5 > 19 + 5x
3x - 5 - 5x > 19
3x -5x > 19 + 5
- 2x > 24     ( DEIVIDO ser (-2x)  INVERTE o simbolo
x < 24/-2
x < - 24/2
x < - 12
 
D)
12x+x-6<8x+4
    13x - 6 < 8x + 4
13x - 6 - 8x < 4
13x - 8x < 4 + 6
5x < 10
x < 10/5
x < 2

E)
 x+9x>3-5x
10x > 3 - 5x
10x + 5x > 3
15x > 3
x > 3/15   ( divide AMBOS por 3)
x > 1/5