Question

Resolva as inequações

a) 16 + 8 a < 3 a + 81

b 5 m >12 m + 49

c) 20 - 8 x < -19 - 21 x

d) 9 a - 31 > 34 a - 13

e) 15 - 9 x < 5 x + 64

f) - 18 + 2 x + 6 = 7 x - 12 - 8 x

Answer 1

Boa tarde, Kauanny!

a) 16+ 8a < 3a + 81
8a - 3a < 81 - 16
5a < 65
a < 65/5
R: a < 13

b) 5m > 12m + 49
5m - 12m > 49
-7m > 49 (.-1)
7m < 49
m < 49/7
R: m < 7

c) 20 - 8x < -19 - 21x
-8x + 21x < -19 - 20
-13x < -39 (.-1)
13x> 39
x> 39/13
R: x > 3

d) 9a - 31 > 34a - 13
9a - 34a > -13 + 31
-25a > 18 (.-1)
25a < -18
R: a < -18/25

e) 15 - 9x < 5x + 64
-9x -5x < 64 - 15
-14x < 49 (.-1)
14x > -49
x> - 49/ 14 (÷7)
R: x> -7/2

f) -18 + 2x + 6 = 7x - 12 - 8x
2x - 7x + 8x = -12 + 18 - 6
3x = 0
x = 0/3
R: x=0

uffa!

Answer 2

Resposta:

Boa tarde, Kauanny!

a) 16+ 8a < 3a + 81

8a - 3a < 81 - 16

5a < 65

a < 65/5

R: a < 13

b) 5m > 12m + 49

5m - 12m > 49

-7m > 49 (.-1)

7m < 49

m < 49/7

R: m < 7

c) 20 - 8x < -19 - 21x

-8x + 21x < -19 - 20

-13x < -39 (.-1)

13x> 39

x> 39/13

R: x > 3

d) 9a - 31 > 34a - 13

9a - 34a > -13 + 31

-25a > 18 (.-1)

25a < -18

R: a < -18/25

e) 15 - 9x < 5x + 64

-9x -5x < 64 - 15

-14x < 49 (.-1)

14x > -49

x> - 49/ 14 (÷7)

R: x> -7/2

f) -18 + 2x + 6 = 7x - 12 - 8x

2x - 7x + 8x = -12 + 18 - 6

3x = 0

x = 0/3

R: x=0