Question

Resolva as inequações:
2+2x<6(x-5)

5x-2(×-1)>7-4x

Answer 1

$2 + 2x < 6(x - 5) \\ 2 + 2x < 6x - 30 \\ 6x - 2x > 2 + 30 \\ 4x > 32 \\ x > \frac{32}{4} \\ x > 8$

$5x - 2(x - 1) > 7 - 4x \\ 5x - 2x + 2 > 7 - 4x \\ 3x + 2 > 7 - 4x \\ 3x + 4x > 7 - 2 \\ 7x > 5 \\ x > \frac{5}{7}$

Answer 2

2 + 2x < 6(x - 5)
2 + 2x < 6x - 30
2x - 6x < - 30 - 2
 - 4x < - 32
   4x > 32
    x > 8

S = {x ∈ R | x > 8}


5x - 2(x - 1) > 7 - 4x
5x - 2x + 2 > 7 - 4x
3x + 4x > 7 - 2
7x > 5
 x > 5/7

S = {x ∈ R | x > 5/7}