Question

Resolva as inequacões a seguir:

A) -x+25<12
B) 5x+1>7+4x
C) 3-x<-1+x
D) 2-2x>3-3x
E) 3(x-1)+2>5(x+1)-3(x-2)
F) 2(x-1)<3(x+4)
G) 5(x+1)-3(1-x) >10

Answer 1

Resolva as inequacões a seguir:

A) - x + 25 < 12

- x < 12 - 25

- x < - 13 · (- 1)

x > 13

B) 5x + 1 > 7 + 4x

5x - 4x > 7 - 1

x > 6

C) 3 - x < - 1 + x

- x - x < - 1 - 3

- 2x < - 4 · (- 1)

2x > 4

x > 4/2

x > 2

D) 2 - 2x > 3 - 3x

- 2x + 3x > 3 - 2

x > 1

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

3x - 3 + 2 > 5x + 5 - 3x + 6

3x - 1 > 2x + 11

3x - 2x > 11 + 1

x > 12

F) 2(x - 1) < 3(x + 4)

2x - 2 < 3x + 12

2x - 3x < 12 + 2

- x < 14 · (- 1)

x > - 14

G) 5(x + 1) - 3(1 - x) > 10

5x + 5 - 3 + 3x > 10

8x + 2 > 10

8x > 10 - 2

8x > 8

x > 8/8

x > 1

Espero ter ajudado! ;)