Question

1) Resolva as inequações:
a) 5X-4 <-7+1
b) 4x-7 < 3x+1
c)5- 2x > 3x
d) x-(3x-1) > 2 +(x - 3)​

Answer 1

Olá....

Resolução:

a)

5x - 4 < - 7 + 1

5x - 4 < - 6

5x < - 6 + 4

5x < - 2

x < - 2/5

x ∈ |R / x < - 2/5

b)

4x - 7 < 3x + 1

4x - 3x < 1 + 7

x < 8

x ∈ |R / x < 8

c)

5 - 2x > 3x

- 3x - 2x > - 5

- 5x > - 5⇒(- 1)

5x < 5

x < 5/5

x < 1

x ∈ |R / x < 1

d)

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

x - 3x + 1 > 2 + x - 3

- 2x + 1 > - 1 + x

- 2x - x >​ - 1 - 1

- 3x > - 2⇒(- 1)

3x < 2

x < 2/3

x ∈ |R / x < 2/3

Bons estudos.