Question

1.Resolva as inequações:


a)
$8x - 10 > 2 x + 8$


b)
$2(3x + 7) < - 4x + 8$


c)
$20 - (2x + 5 \leqslant 11 + 8x$


d)
$2x + 5 < - 3 x + 40$


e)
$6(x - 5) - 2(4x + 2) > 100$


f)
$7x - 9 < 2x + 16$


g)
$2 x + 5 \geqslant - 3 x + 40$


h)
$6(x - 5) - 2(4x + 2) \geqslant 80$


i)
$20 - (7x + 4) < 30$
Me ajudem por favor,é pra amanhã,obrigada!​

Answer 1

Explicação passo-a-passo:

LETRA A

8x - 10 > 2x + 8

8x - 2x > 8+10

6x > 18

x > 3

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LETRA B

2.(3x+7) < - 4x + 8

6x + 14 < - 4x + 8

6x + 4x < +8 - 14

10x < -6

x < 6/10

x < 3/5

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LETRA C

20 - (2x + 5) < 11 + 8x

20 - 2x - 5 < 11 + 8x

- 2x - 8x < 11 - 20 + 5

-10x < -4

x < -4/-10

x < 2/5

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LETRA D

2x + 5 < -3x + 40

2x + 3x < 40 - 5

5x < 35

x < 35/5

x < 7

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LETRA E

6.(x-5) - 2.(4x + 2) > 100

6x - 30 - 8x - 2 > 100

-2x > 100 + 30 + 2

- 2x > 132

x > 132/-2

x> - 66

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LETRA F

7x - 9 < 2x + 16

7x - 2x < 16 + 9

5x < 25

x < 25/5

x < 5

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LETRA G

2.(x+5) > -3x + 40

2x + 10 > - 3x + 40

2x + 3x > 40 - 10

5x > 30

x > 30/5

x > 6

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LETRA H

6.(x-5) - 2.(4x + 2) > 80

6x - 30 - 8x - 4 > 80

- 2x - 34 > 80

-2x > 114

x > 114/2

x > 57

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LETRA I

20 - (7x + 4) < 30

20 - 7x - 4 < 30

16 - 7x < 30

- 7x < 30 - 16

- 7x < 14

x < 14/-7

x < -2