Question

12) Resolva as inequações
a) x + 5 < 12
b) 2 x -3 > 12
c) 3 - 4 > 5 x - 10
d) 5 x + 2 < 3 x - 15
e) 9(2x + 1) > 3 ( 5x - 2 )

me ajudem pessoal prfv

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Answer 1

Oi...

a)

x + 5 < 12

x < 12 - 5

x < 7

x ∈ |R / x < 7

b)

2x - 3 > 12

2x > 12 + 3

2x > 15

x > 15/2

x ∈ |R / x  > 15/2

c)

3 - 4 > 5x - 10

- 1 > 5x - 10

- 5x > - 10 + 1

- 5x > - 9 ⇒( - 1)

5x < 9

x < 9/5

x ∈ |R / x < 9/5

d)

5x + 2 < 3x - 15

5x - 3x < - 15 - 2

2x < - 17

x < - 17/2

x ∈ |R / x < - 17/2

e)

9(2x + 1) > 3(5x - 2 )

18x + 9 > 15x - 6

18x - 15x > - 6 - 9

3x > - 15

x > - 15/3

x > - 5

x ∈ |R / x > - 5

Bons estudos.