Question

1 - Resolva as inequações
a) 2 x - 15 < - x
b) 6 x - 5 - 4 x < ou igual 3
c) - x - 10 > - 2
d) 2 x + x - > 19 + 5 x
e) 4 - 3 x > x + 6
f) 3 x + 8 < 6 + 5 x
g) 3 x + 4 > 7 - 3 - 1
h) 5 x - 15 > 2 x + 3 + 5

Answer 1

Resposta:

Explicação passo a passo:

1 - Resolva as inequações:

a)

2 x - 15 < - x

2x + x < 15

3x < 15

x < 15/3

x < 5

________

b)

6 x - 5 - 4 x ≤ 3

2x - 5 ≤ 3

2x ≤ 3+5

2x ≤ 8

x ≤ 8/2

x ≤ 4

___________

c)

- x - 10 > - 2

- x > - 2 + 10

- X > 8 (-1)

x < - 8

________

d) 2 x + x ≥ 19 + 5 x

3x ≥ 19+5x

3x - 5x ≥ 19

- 2x ≥ 19 (-1)

x ≤ - 19/2

__________

e)

4 - 3 x > x + 6

- 3x - x > 6-4

- 4x > 2 (-1)

4x < - 2 (:2)

2x < - 1

x < - 1/2

___________

f)

3 x + 8 < 6 + 5 x

3x - 5x < 6-8

-2x < -2 (-1)

X > 1

_________

g)

3 x + 4 > 7 - 3 - 1

3x+4 > 3

3x > 3-4

3x > -1

x > - 1/3

__________

h)

5 x - 15 > 2 x + 3 + 5

5x-15 > 2x+8

5x-2x > 8+15

3x > 23

x > 23/3

__________