Question

Resolva as inequações.
a) 7(x - 1) < 5 - 2x
6) 10× - 1<4(x + 1)
c) 6x - 3(4 - 2x) > 0
d) 3(x - 2) < 5x - 8
e) 2(x - 3) + 3(x - 1) <36
f) 3(x - 1) - 2(x + 1) = -9​

Answer 1

a) 7(x-1) < 5 - 2x

7x - 7 < 5 - 2x

7x + 2x < 5 + 7

9x < 12

x < 4/3

6) 10x - 1 < 4(x+1)

10x - 1 < 4x + 4

10x - 4x < 4 + 1

6x < 5

x < 5/6

c) 6x - 3(4-2x)> 0

6x - 12 + 6x > 0

12x - 12 > 0

12x > 12

x > 1

d) 3(x-2) < 5x - 8

3x - 6 < 5x - 8

3x - 5x < -8 + 6

-2x < -2

x > 1

e) 2(x-3) + 3(x-1) < 36

2x - 6 + 3x - 3 < 36

5x - 9 < 36

5x < 36 + 9

5x < 45

5x < 9

f) 3(x-1) - 2(x+1) = -9

3x - 3 - 2x - 2 = -9

x - 5 = -9

x = -9 + 5

x = -4