Question

1) Resolva as seguintes inequações:
a) X + 5 <7
b) 3x - 2 < 2x + 4
c) 2x + X-5 > 19 + 5x
d) 12x + x-6 < 8x + 4
e) 7x + 4 - 5x < 20​

Answer 1

Oi, boa noite!

Resposta:

1) a) S = {x ∈ |R / x < 2}.

b) S = {x ∈ |R / x < 6}.

c) S = {x ∈ |R / x < – 12}.

d) S = {x ∈ |R / x < 2}.

e) S = {x ∈ |R / x < 8}.

Explicação passo-a-passo:

1) a) x + 5 < 7

x < 7 – 5

x < 2. —> S = {x ∈ |R / x < 2}.

b) 3x – 2 < 2x + 4

3x – 2x < 4 + 2

x < 6. —> S = {x ∈ |R / x < 6}.

c) 2x + x – 5 > 19 + 5x

2x + x – 5x > 19 + 5

3x – 5x > 24

– 2x > 24 · (– 1)

2x < – 24

x < (– 24)/2

x < – 12. —> S = {x ∈ |R / x < – 12}.

d) 12x + x – 6 < 8x + 4

12x + x – 8x < 4 + 6

13x – 8x < 10

5x < 10

x < 10/5

x < 2. —> S = {x ∈ |R / x < 2}.

e) 7x + 4 – 5x < 20

7x – 5x < 20 – 4

2x < 16

x < 16/2

x < 8. —> S = {x ∈ |R / x < 8}.

Espero ter te ajudado e bons estudos para você! ;)